TANAKA Tamaki 田中環

… Alternative Names

田中環タナカタマキ

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Researcher Number	10207110
Other IDs
External Links
Affiliation (Current)	2025: 新潟大学, 自然科学系, 教授
Affiliation (based on the past Project Information) *help	2025: 新潟大学, 自然科学系, 教授 2005 – 2023: Niigata University, Institute of Science and Technology, Professor, 自然科学系, 教授 2012: 新潟大学, 大学院・自然科学研究科, 教授 2001 – 2004: 新潟大学, 大学院・自然科学研究科, 教授 1997 – 2000: 弘前大学, 理工学部, 教授 … More 1995 – 1996: 弘前大学, 理学部, 助教授 1993 – 1994: 弘前大学, 理学部, 講師 1992: 弘前大学, 理学部, 助手 1990: 弘前大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12040:Applied mathematics and statistics-related / Foundations of mathematics/Applied mathematics Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Foundations of mathematics/Applied mathematics / 代数学・幾何学 / Basic Section 60020:Mathematical informatics-related / Basic Section 12040:Applied mathematics and statistics-related / Social systems engineering/Safety system / Geometry
Keywords	Principal Investigator set-valued map / vector-valued function / cone-convexity / minimax theorem / 集合値写像 / ベクトル最適化 / vector optimization / 非線形スカラー化 / game theory / semicontinuity … More / 大域的最適化 / 凸解析学 / 集合値最適化 / 集合値計画 / Vector Optimization / global optimization / multicriteria game / cone saddle points / pointed convex cones / approximately efficient points / saddle point / Caristi's fixed point theorem / nonlinear scalarization / multicriteria problems / 半連続性 / ベクトル値関数 / 数値計算法 / ファジィ集合 / スカラー化関数 / 集合最適化 / 半順序空間 / ミニマックス不等式 / Ekelandの変分原理 / 数理計画問題 / 均衡問題 / 非線形スカラー化関数 / Vector-valued function / vector-valued convex functions / approximation / 数値計算アルゴリズム / 集合関数 / 漸近関数 / 集合の優劣 / 鞍点 / カリスティの不動点定理 / vector Optimization / Minimax theorem / 多規準問題 / ゲーム理論 / 錐凸性 / ミニマックス定理 / 二者択一の定理 / 劣線形スカラー化 / 包絡分析法(DEA) / Minimax Problem / Fixed Point Theory / Game Theory / Multicriteria Problem / Optimization / Set-Valued Analysis / Convex Analysis / Nonlinear Analysis … More Except Principal Investigator 大域的最適化 / 集合値計画法 / 数理計画法 / KKT条件 / asymptotic consistency / sequential confidence interval / exponential distribution / stopping rule / fully sequential procedure / 漸近一致性 / 逐次信頼区間 / 指数分布 / 停止規則 / 純逐次手法 / 分枝限定法 / 逆凸計画 / 逆凸制約 / 双対理論 / 制約想定 / 埋め込み / 数理計画 / 多目的最適化 / 微分概念 / 集合値最適化 / dc 計画 / 非線形計画 / DC計画 / パラメトリック最適化 / DC計画法 / Stokes方程式 / 事前誤差評価 / Hypercircle法 / ナビエストークス方程式 / Hypercirle法 / 厳密計算ライブラリ / 計算機援用証明 / ナビエ・ストークス方程式 / Hypercircle / 非圧縮条件 / 固有値問題 / 誤差評価 / 精度保証付き数値計算 / 有限要素法 / 非線形偏微分方程式 / 最適性条件 / 統一的評価基準 / FJ条件 / 2次計画問題 / 逆凸計画問題 / rate of convergence / asymptotic expansion / normal distribution / 非線形再生理論 / 収束の速さ / 正規分布 / 非線形再 / 収束速度 / 指数分布、正規分布 / 漸近展開 / higher-order asymptotic efficiency / second-order asymptotic expansion / bounded risk / 位置母数 / 一様分布 / 逐次推定 / 高次漸近有効性 / 2次漸近展開 / 有界危険 / 国際情報交換 / FJ点 / KKT点 / 区分的分離超平面 / 逐次近似解法 / 分離超平面 / 大域的最適化問題 / 相対理論 / ファジィ集合値写像 / ファジィ集合列 / 準凹関数 / 加法的生成元 / 集計関数 / 安定性 / ファジィ多目的配置問題 / 意思決定 / OR / 集合値解析学 / 微分 / 鞍部点 / 準凸性 / クリフォードトーラス / TNR関手 / 代数曲線 / 微分多様体 / 被覆半径 / マクウイリアムス型恒等式 / 符号理論 / ヤコビ多項式 / リ-枚挙多項式 / 完全枚挙多項式 / ジ-ゲルテ-タ級数 / ヤコビテ-タ級数 / 3元線形符号 / 2元線形符号 Less

集合最適化の研究と漸近理論への応用Principal Investigator
- Principal Investigator
  
  田中環
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Niigata University
Set Optimization for sets with inferior-to-superior relationship and its applications to numerical analysisPrincipal Investigator
- Principal Investigator
  
  田中環
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Niigata University
Effective procedures for speeding up global optimization algorithms for large-scale canonical dc quadratic programming problems
- Principal Investigator
  
  山田修司
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 60020:Mathematical informatics-related
- Research Institution
  Niigata University
Computer-assisted proof for stationary solution existence of Navier-Stokes equation on 3D domain
- Principal Investigator
  
  LIU Xuefeng
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Niigata University
A global optimization method for a reverse convex programming problem by listing FJ points
- Principal Investigator
  
  YAMADA SYUUJI
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Niigata University
Study on Set-Valued Inequalities based on Set-Valued Analysis and Convex Analysis and its Applications to Optimization ProblemsPrincipal Investigator
- Principal Investigator
  
  TANAKA Tamaki
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Niigata University
Research on unified criteria in set-valued programming and its application
- Principal Investigator
  
  Kuroiwa Daishi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Shimane University
Development of successive iteration methods utilizing partial separating hyperplanes for a global optimization problem with a reverse convex constraint
- Principal Investigator
  
  YAMADA Syuuji
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Niigata University
Analytic research of multicriteria location problems and applications to the system for developing new products
- Principal Investigator
  
  KON Masamichi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Social systems engineering/Safety system
- Research Institution
  Hirosaki University
Research on constraint qualification and solution method for set optimization programming
- Principal Investigator
  
  KUROIWA Daishi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Shimane University
Study on Nonlinear Scalarization Methods for Set-Valued Maps and its Applications into Mathematical ProgrammingPrincipal Investigator
- Principal Investigator
  
  TANAKA Tamaki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Niigata University
Study on Nonlinear Scalarization Methods for Set-Valued Maps and its Applications into Mathematical ProgrammingPrincipal Investigator
- Principal Investigator
  
  TANAKA Tamaki
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Niigata University
A notions of directional derivative for set-valued maps on set optimization programming and its applications
- Principal Investigator
  
  KUROIWA Daishi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Shimane University
Studies on statistical sequential estimation problems by the method of sequential analysis
- Principal Investigator
  
  ISOGAI Eiichi
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Niigata University
Study on Nonlinear Scalarization Methods for Set-Valued Maps and its Applications into Mathematical Programming Problems and Statistical Science.Principal Investigator
- Principal Investigator
  
  TANAKA Tamaki
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Niigata University
Studies on efficiency of statistical methods of sequential estimation
- Principal Investigator
  
  ISOGAI Eiichi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Niigata University
Analytical Study on Vector Optimization and its Applications into Mathematical Programming ProblemsPrincipal Investigator
- Principal Investigator
  
  TANAKA Tamaki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  NIIGATA UNIVERSITY
ベクトル最適化の解析的研究と多目的意思決定問題への応用Principal Investigator
- Principal Investigator
  
  田中環
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hirosaki University
ベクトル最適化問題の解析的研究とその応用Principal Investigator
- Principal Investigator
  
  田中環
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hirosaki University
非線形解析学と凸解析学に関する国際研究集会の企画準備Principal Investigator
- Principal Investigator
  
  田中環
- Project Period (FY)
  1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hirosaki University
ベクトル最適化問題の解析的研究とそのアルゴリズムの研究Principal Investigator
- Principal Investigator
  
  田中環
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hirosaki University
ベクトル最適化問題の解析的研究と制御システムへの応用Principal Investigator
- Principal Investigator
  
  田中環
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hirosaki University
ベクトル最適化問題の解析的研究とゲーム理論的応用Principal Investigator
- Principal Investigator
  
  田中環
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hirosaki University
空間における構造と変換の研究
- Principal Investigator
  
  畠山洋二
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hirosaki University
符号の不変量の代数的・解析的研究
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hirosaki University
代数的符号理論と二次形式
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hirosaki University

[Journal Article] A relation between asymptotic cones and Painlev\'{e}-Kuratowski convergenc2024
- Author(s)
  Ryota Iwamoto, Tamaki Tanaka
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2274 Pages: 168-171
- Open Access
- Data Source
  KAKENHI-PROJECT-21K03367
[Journal Article] Multi-criteria comparison of intuitionistic fuzzy sets from the viewpoint of set optimization2024
- Author(s)
  Longrio Platil, Tamaki Tanaka
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2274 Pages: 172-178
- Open Access
- Data Source
  KAKENHI-PROJECT-21K03367
[Journal Article] A generalization of fuzzy-set relations for intuitionistic fuzzy sets2023
- Author(s)
  Longrio Platil, Tamaki Tanaka
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2240 Pages: 78-83
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03367
[Journal Article] Generalized cone-continuity of set-valued maps with scalarization2023
- Author(s)
  Premyuda Dechboon, Tamaki Tanaka
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2240 Pages: 67-77
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03367
[Journal Article] Multi-criteria evaluation for intuitionistic fuzzy sets based on set-relation2023
- Author(s)
  Longrio Platil, Tamaki Tanaka
- Journal Title
  
  Nihonkai Math. J.
  
  Volume: 34 Pages: 1-18
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03367
[Journal Article] Some kinds of continuity properties on composite functions of set-valued maps and scalarizing functions2022
- Author(s)
  Premyuda Dechboon, Tamaki Tanaka
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2214
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03367
[Journal Article] Generalized alternative theorems based on set-relations and its application2017
- Author(s)
  Yuto Ogata, Gue Myung Lee, Jae Hyoung Lee, Yutaka Saito, Tamaki Tanaka
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 印刷中
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Journal Article] Sublinear scalarization methods for sets with respect to set-relations2017
- Author(s)
  Yuto Ogata, Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 3 Pages: 121-132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04994
[Journal Article] Sublinear scalarization methods for sets with respect to set-relations2017
- Author(s)
  Yuto Ogata, Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 3(1) Pages: 121-132
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400194
[Journal Article] Convexity for compositions of set-valued map and monotone scalarizing function2016
- Author(s)
  Shogo Kobayashi, Yutaka Saito, Tamaki Tanaka
- Journal Title
  
  Pacific Journal of Optimization
  
  Volume: 12(1) Pages: 43-54
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400194
[Journal Article] Nonconvex separation functional in linear spaces with applications to vector equilibria2016
- Author(s)
  Cesar Gutierrez, Vicente Novo, Juan Luis Rodenas-Pedregosa, Tamaki Tanaka
- Journal Title
  
  SIAM Journal on Optimization
  
  Volume: 26(4) Issue: 4 Pages: 2677-2695
- DOI
  10.1137/16m1063575
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Journal Article] Graphical analysis on payoff functions for bicriteria set-valued matrix games2015
- Author(s)
  Masakazu Higuchi, Kenji Kimura, Tamaki Tanaka
- Journal Title
  
  Proceedings of the 8th International Conference on Nonlinear Analysis and Convex Analysis
  
  Volume: なし Pages: 81-106
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400194
[Journal Article] A set-valued generalization of Ricceri's theorem related to Fan-Takahashi minimax inequality2015
- Author(s)
  Yutaka Saito,Tamaki Tanaka
- Journal Title
  
  Nihonkai Mathematical Journal
  
  Volume: 26(2) Pages: 135-144
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400194
[Journal Article] On minimax and maximin values in a set-valued multicriteria matrix game2015
- Author(s)
  Kenji Kimura, Masakazu Higuchi, Tamaki Tanaka
- Journal Title
  
  Proceedings of the 8th International Conference on Nonlinear Analysis and Convex Analysis
  
  Volume: なし Pages: 241-249
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400194
[Journal Article] On generalization of Ricceri's theorem for Fan-Takahashi minimax inequality into set-valued maps via scalarization2015
- Author(s)
  Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Journal Title
  
  J.Nonlinear Convex Anal.
  
  Volume: 16 Pages: 9-19
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400194
[Journal Article] On generalization of Ricceri's theorem for Fan-Takahashi minimax inequality into set-valued maps via scalarization2015
- Author(s)
  斎藤裕, 田中環, 山田修司
- Journal Title
  
  Journal of Nonlinear and Convex Analysis
  
  Volume: 16 Pages: 9-19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540118
[Journal Article] 写像を用いたFan-Takahashiの不等式定理とRicceriの定理の関連付け2014
- Author(s)
  斎藤裕, 田中環, 山田修司
- Journal Title
  
  数理解析研究所講究録「非線形解析学と凸解析学の研究」
  
  Volume: 1923 Pages: 192-197
- Data Source
  KAKENHI-PROJECT-24540118
[Journal Article] Optimality conditions for a cone-dc vector optimization problem2014
- Author(s)
  山田修司, 田中環, 谷野哲三
- Journal Title
  
  数理解析研究所講究録「非線形解析学と凸解析学の研究」
  
  Volume: 1923 Pages: 205-213
- Data Source
  KAKENHI-PROJECT-24540118
[Journal Article] Note on the Regularity of Nonadditive Measures2013
- Author(s)
  渡辺俊一，山田修司，田中環
- Journal Title
  
  Journal of Applied Mathematics
  
  Volume: 2013 Pages: 1-4
- DOI
  10.1155/2013/234681
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540118
[Journal Article] Expansion of the Cross Efficiency Evaluation by Using the Equations Forming the Efficient Frontier in DEA2013
- Author(s)
  鷲尾哲, 山田修司, 田中環, 谷野哲三
- Journal Title
  
  Optimization Methods and Software
  
  Volume: 28 Issue: 4 Pages: 889-899
- DOI
  10.1080/10556788.2012.750320
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540118
[Journal Article] Relationships between vector-valued cone-dc and locally cone-dc functions2013
- Author(s)
  山田修司，田中環，谷野哲三
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 398 Issue: 2 Pages: 588-593
- DOI
  10.1016/j.jmaa.2012.09.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540118
[Journal Article] 分数凸計画問題に対するDC 最適化手法を基づく逐次近似解法2013
- Author(s)
  平野裕之, 山田修司, 田中環, 谷野哲三
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1841 Pages: 105-113
- Data Source
  KAKENHI-PROJECT-24540118
[Journal Article] Successive search methods for solving a canonical dc programming problem2013
- Author(s)
  山田修司，田中環，谷野哲三
- Journal Title
  
  Optimization
  
  Volume: - Issue: 3 Pages: 371-384
- DOI
  10.1080/02331934.2011.651471
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540118
[Journal Article] Improvements by analyzing the efficient frontier in DEA2012
- Author(s)
  S. Washio, S. Yamada, T. Tanaka, and T. Tanino
- Journal Title
  
  European Journal of Operational Research
  
  Volume: 217(1) Issue: 1 Pages: 173-184
- DOI
  10.1016/j.ejor.2011.09.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Optimality condition for vector-valued DC programming problems2012
- Author(s)
  M. Hojo and T. Tanaka
- Journal Title
  
  J. Nonlinear Convex Anal.
  
  Volume: 13(1) Pages: 57-64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Nash equilibrium and saddle points for multifunctions, Commun2011
- Author(s)
  P. G. Georgiev, T. Tanaka, D. Kuroiwa, and P. M. Pardalos
- Journal Title
  
  Commun. Math. Anal
  
  Volume: 10 Pages: 118-127
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540133
[Journal Article] Continuity of cone-convex functions2011
- Author(s)
  I. Kuwano and T. Tanaka
- Journal Title
  
  Optimization Letters
  
  Volume: (to appear) Issue: 8 Pages: 1847-1853
- DOI
  10.1007/s11590-011-0381-4
- Year and Date
  2011-08-20
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Improvement indices keeping the feasibility in deta envelopment analysis2011
- Author(s)
  S. Washio, S. Yamada, T. Tanaka, and T. Tanino
- Journal Title
  
  J. Nonlinear Convex Anal.
  
  Volume: 12(1) Pages: 29-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Outer approximation method incorporating the Ferrari's method for solving a quadratic dc programming problem2011
- Author(s)
  S. Yamada, T. Tanaka, and T. Tanino
- Journal Title
  
  J. Nonlinear Convex Anal.
  
  Volume: 12(1) Pages: 17-27
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Dual and bidual problems for a Lipschitz optimization problem based on quasi-conjugation2011
- Author(s)
  S. Yamada, T. Tanaka, and T. Tanino
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 378 Pages: 198-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] On Regularity for Non-Additive Measure2011
- Author(s)
  T. Watanabe and T. Tanaka
- Journal Title
  
  Advances in Intelligent and Soft Computing
  
  Volume: 100 Pages: 69-75
- DOI
  10.1007/978-3-642-22833-9_8
- ISBN
  9783642228322, 9783642228339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] On Lusin's Theorem for Non-Additive Measure2011
- Author(s)
  T. Tanaka and T. Watanabe
- Journal Title
  
  Advances in Intelligent and Soft Computing
  
  Volume: 100 Pages: 85-92
- DOI
  10.1007/978-3-642-22833-9_10
- ISBN
  9783642228322, 9783642228339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Unified scalarization for sets and set-valued Ky Fan minimax inequalities2010
- Author(s)
  I. Kuwano, T. Tanaka, and S. Yamada
- Journal Title
  
  J. Nonlinear Convex Anal.
  
  Volume: 11(3) Pages: 513-525
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Cone-semicontinuity of set-valued maps by analogy with real-valued semicontinuity2010
- Author(s)
  Y. Sonda, I. Kuwano, and T. Tanaka
- Journal Title
  
  Nihonkai Math. J
  
  Volume: 21(2) Pages: 91-103
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] On saddle-point problems for set-valued functions2010
- Author(s)
  K. Kimura and T. Tanaka
- Journal Title
  
  Nonlinear Analysis and Convex Analysis
  
  Pages: 115-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Inherited properties of nonlinear scalarizing functions for set-valued maps2010
- Author(s)
  I. Kuwano, T. Tanaka, and S. Yamada
- Journal Title
  
  Nonlinear Analysis and Convex Analysis
  
  Pages: 161-177
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] On generalizing Cammaroto-Chinni's theorem2010
- Author(s)
  Y. Araya and T. Tanaka
- Journal Title
  
  Nonlinear Analysis and Convex Analysis
  
  Pages: 29-35
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Outer approximation methods incorporating Lipschitz optimization techniques for solving a DC programming problem2010
- Author(s)
  S. Yamada, T. Tanaka, and T. Tanino
- Journal Title
  
  Nonlinear Analysis and Convex Analysis
  
  Pages: 417-432
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Outer approximation method incorporating a quadratic approximation for a dc programming problem2010
- Author(s)
  S. Yamada, T. Tanaka, and T. Tanino
- Journal Title
  
  Journal of Optimization Theory and Applications
  
  Volume: 144(1) Pages: 156-183
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] A dual problem for a Lipschitz optimization problem2009
- Author(s)
  S. Yamada, T. Tanaka, and T. Tanino
- Journal Title
  
  Proceedings of Asian Conference on Nonlinear Analysis and Optimization
  
  Pages: 349-359
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Characterization of nonlinear scalarizing functions for set-valued maps2009
- Author(s)
  I. Kuwano, T. Tanaka, and S. Yamada
- Journal Title
  
  Proceedings of Asian Conference on Nonlinear Analysis and Optimization
  
  Pages: 193-204
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540121
[Journal Article] Several nonlinear scalarization methods for set-valued maps2009
- Author(s)
  I. Kuwano, T. Tanaka, S. Yamada
- Journal Title
  
  京都大学数理解析研究所講究録 1643
  
  Pages: 75-86
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] Existence of vector equilibria via Ekeland's variational principle2008
- Author(s)
  Y. Araya, K. Kimura, T. Tanaka
- Journal Title
  
  Taiwanese Journal of Mathematics 12(8)
  
  Pages: 1991-2000
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] Minimal element theorem with set-relations2008
- Author(s)
  A. Shimizu and T. Tanaka
- Journal Title
  
  Journal of Nonlinear and Convex Analysis 9(2)
  
  Pages: 249-253
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] Outer approximation methods for solving a global optimization problem with reverse convex constraints2008
- Author(s)
  S. Yamada, T. Tanaka, T. Tanino
- Journal Title
  
  Nonlinear Analysis and Convex Analysis 5
  
  Pages: 201-218
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] A successive approximation method for solving a Lipschitz optimization problem2008
- Author(s)
  S. Yamada, T. Tanaka, T. Tanino
- Journal Title
  
  京都大学数理解析研究所講究録 1611
  
  Pages: 18-25
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] Existence Results of Cone Saddle-Points for Vector-Valued Functions2007
- Author(s)
  K.KIMURA, T.TANAKA
- Journal Title
  
  Proceedings of the Fourth International Conference on Nonlinear Analysis and Convex Analysis
  
  Pages: 239-251
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540108
[Journal Article] A characterization of efficient saddle point for set-valued maps, Proceedings of the Second International Conference on Game Theory and Applications2007
- Author(s)
  T. Tanaka, S. Yamada
- Journal Title
  
  World Academic Press 単子本(ISBN 184626166X)
  
  Pages: 183-185
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] Iterative construction of fixed points of nonself-mappings in banach spaces2007
- Author(s)
  L.-C. Zeng, T. Tanaka, J.-C. Yao
- Journal Title
  
  Journal of Computational and Applied Mathematic 206(2)
  
  Pages: 814-825
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] Existence results of cone saddle-points for vector-valued functions2007
- Author(s)
  Kimura, K., Tanaka, T
- Journal Title
  
  Proc. of the4th internat.confer. on Nonlinear Anal. and Convex Anal 239-251
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540117
[Journal Article] On Generalizing Caristi's Fixed Point Theorem2007
- Author(s)
  Y.ARAYA, T.TANAKA
- Journal Title
  
  Proceedings of the Fourth International Conference on Nonlinear Analysis and Convex Analysis
  
  Pages: 41-46
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540108
[Journal Article] On generalizing Caristi's fixed point theorem2007
- Author(s)
  Araya, Y., Tanaka, T
- Journal Title
  
  Proc. of the4th internat.confer. on Nonlinear Anal. and Convex Anal 41-46
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540117
[Journal Article] Vectorial Versions of Takahashi's Minimum Point Theorem2007
- Author(s)
  Y.ARAYA, T.TANAKA
- Journal Title
  
  RIMS Kokyuroku 544
  
  Pages: 1-7
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540108
[Journal Article] Optimality Conditions in Set-Valued Optimization using Nonlinear Scalarization Methods2007
- Author(s)
  A.SHIMIZU, S.NISHIZAWA, T.TANAKA
- Journal Title
  
  Proceedings of the Fourth International Conference on Nonlinear Analysis and Convex Analysis
  
  Pages: 565-574
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540108
[Journal Article] Optimality conditions in set-valued optimization using nonlinear scalarization methods2007
- Author(s)
  Shimizu, A. Nishizawa, S., Tanaka, T
- Journal Title
  
  Proc. of the4th internat.confer. on Nonlinear Anal. and Convex Anal 565-574
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540117
[Journal Article] Iterative construction of fixed points of nonself-mappings in banach spaces2007
- Author(s)
  Lu-Chuan Zeng, Tamaki Tanaka, Jen-Chih Yao
- Journal Title
  
  Journal of Computational and Applied Mathematic 206(2)
  
  Pages: 814-825
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] A characterization of efficient saddle point for set-valued maps2007
- Author(s)
  Tamaki Tanaka, Syuuji Yamada
- Journal Title
  
  Proceedings of the Second International Conference on Game Theory and Applications, World Academic Press (ISBN 184626166X) (単子本)
  
  Pages: 183-185
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] A Cutting Plane Method Incorporating with a Quadratic Approximation for a D.C. Programming Problem2007
- Author(s)
  S.Yamada, T.Tanaka, T.Tanino
- Journal Title
  
  RIMS Kokyuroku 1544
  
  Pages: 222-231
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540108
[Journal Article] Characterization of several saddle point concepts for set-valued maps2006
- Author(s)
  T.TANAKA
- Journal Title
  
  RIMS Kokyuroku 京都大学数理解析研究所講究録 1484
  
  Pages: 87-97
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540108
[Journal Article] Characterization for Efficient Saddle Points of Set-Valued Maps2006
- Author(s)
  T.TANAKA, S.NISHIZAWA, A.SHIMIZU
- Journal Title
  
  RIMS Kokyuroku 1484
  
  Pages: 87-97
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540108
[Journal Article] Existence Theorem of Cone Saddle-Points Applying a Nonlinear Scalarization2006
- Author(s)
  K.KIMURA, T.TANAKA
- Journal Title
  
  Taiwanese Journal of Mathematics 10(2)
  
  Pages: 563-571
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540108
[Journal Article] On Caristi's Fixed Point Theorems for Vector-Valued Functions2006
- Author(s)
  Y.ARAYA, T.TANAKA
- Journal Title
  
  RIMS Kokyuroku 1484
  
  Pages: 114-123
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540108
[Journal Article] Existence theorem of cone saddle-points applying a nonlinear scalarization2006
- Author(s)
  K.Kimura, T.Tanaka
- Journal Title
  
  Taiwanese Journal of Mathematics vol.10, no.2
  
  Pages: 563-571
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540099
[Journal Article] Alternative theorems for set-valued maps based on a nonlinear scalarization2005
- Author(s)
  S.Nishizawa, M.Onodsuka, T.Tanaka
- Journal Title
  
  Pacific Journal of Optimization vol.1, no.1
  
  Pages: 147-159
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540099
[Journal Article] On inherited properties for set-valued maps and existence theorems for generalized vector equilibrium problems2004
- Author(s)
  S.Nishizawa, T.Tanaka
- Journal Title
  
  Journal of Nonlinear and Convex Analysis vol.5, no.2
  
  Pages: 187-197
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540099
[Journal Article] Characterization of nonlinear scalarizing functions for set-valued maps
- Author(s)
  I. Kuwano, T. Tanaka, S. Yamada
- Journal Title
  
  in the Proceedings of Nonlinear Analysis and Optimization (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540120
[Journal Article] A dual problem for a Lipschitz optimization problem
- Author(s)
  S. Yamada, T. Tanaka, T. Tanino
- Journal Title
  
  in the Proceedings of Nonlinear Analysis and Optimization (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] 漸近錐と集合値写像の半連続性の関係について2023
- Author(s)
  岩本崚汰, 田中　環
- Organizer
  RIMS 共同研究（公開型）「非線形解析学と凸解析学の研究」
- Data Source
  KAKENHI-PROJECT-21K03367
[Presentation] Generalized cone-continuity of set-valued maps with scalarization2022
- Author(s)
  Premyuda Dechboon, Tamaki Tanaka
- Organizer
  RIMS 共同研究（公開型）「非線形解析学と凸解析学の研究」
- Data Source
  KAKENHI-PROJECT-21K03367
[Presentation] 集合値写像の錐連続性の一般化について2022
- Author(s)
  Longrio Platil, Tamaki Tanaka
- Organizer
  日本OR学会秋季研究発表会
- Data Source
  KAKENHI-PROJECT-21K03367
[Presentation] A generalization of fuzzy-set relations for intuitionistic fuzzy sets2022
- Author(s)
  Longrio Platil, Tamaki Tanaka
- Organizer
  RIMS 共同研究（公開型）「非線形解析学と凸解析学の研究」
- Data Source
  KAKENHI-PROJECT-21K03367
[Presentation] 集合値写像の錐連続性の一般化について2022
- Author(s)
  Premyuda Dechboon, Tamaki Tanaka
- Organizer
  日本OR学会秋季研究発表会
- Data Source
  KAKENHI-PROJECT-21K03367
[Presentation] Inheritance properties on cone continuity for set-valued maps via scalarization2021
- Author(s)
  Premyuda Dechboon, Tamaki Tanaka
- Organizer
  RIMS 共同研究（公開型）「非線形解析学と凸解析学の研究」
- Data Source
  KAKENHI-PROJECT-21K03367
[Presentation] Sublinear-like Scalarization Scheme for Sets and its Applications2021
- Author(s)
  Tamaki Tanaka
- Organizer
  15-th International Workshop on Well-Posedness of Optimization Problems and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03367
[Presentation] Some kind of continuity properties on composite functions of set-valued maps and scalarizing functions2021
- Author(s)
  Premyuda Dechboon, Tamaki Tanaka
- Organizer
  RIMS 共同研究（公開型）「非線形解析学と凸解析学の研究」
- Data Source
  KAKENHI-PROJECT-21K03367
[Presentation] Sublinear scalarization methods for sets with respect to set-relations2017
- Author(s)
  Yuto Ogata, Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Organizer
  International Workshop on Nonlinear Analysis, Optimization and Applications
- Place of Presentation
  Pukyong National University, 釜山（韓国）
- Year and Date
  2017-02-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] 劣線形スカラー化関数を用いた集合最適化におけるε-最適性条件2017
- Author(s)
  小形優人，田中環
- Organizer
  日本オペレーションズ・リサーチ学会　2017年春季研究発表会
- Place of Presentation
  沖縄県市町村自治会館，沖縄（日本）
- Year and Date
  2017-03-15
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] 集合の二項関係に基づくスカラー化関数の数値計算法2017
- Author(s)
  于慧，池浩一郎，小形優人，齋藤裕，劉雪峰，田中環，山田修司
- Organizer
  日本オペレーションズ・リサーチ学会　2017年春季研究発表会
- Place of Presentation
  沖縄県市町村自治会館，沖縄（日本）
- Year and Date
  2017-03-15
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] ファジィ集合の2項関係に基づくスカラー化と二者択一の定理2017
- Author(s)
  池浩一郎，田中環
- Organizer
  日本オペレーションズ・リサーチ学会　2017年春季研究発表会
- Place of Presentation
  沖縄県市町村自治会館，沖縄（日本）
- Year and Date
  2017-03-15
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] 集合最適化における劣線形スカラー化手法について2017
- Author(s)
  久須美裕，田中環，山田修司
- Organizer
  日本オペレーションズ・リサーチ学会　2017年春季研究発表会
- Place of Presentation
  沖縄県市町村自治会館，沖縄（日本）
- Year and Date
  2017-03-15
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Alternative theorems via set-valued analysis2016
- Author(s)
  Gue Myung Lee, Jae Hyoung Lee, Yuto Ogata, Yutaka Saito, Tamaki Tanaka
- Organizer
  The 5th Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2016)
- Place of Presentation
  朱鷺メッセ，新潟（日本）
- Year and Date
  2016-08-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Hierarchical convergence for equilibrium problems and variational inequalities problems2016
- Author(s)
  Thanyarat Jitpeera, Paphawadee Netsuwan, Tamaki Tanaka, Poom Kumam
- Organizer
  The 5th Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2016)
- Place of Presentation
  朱鷺メッセ，新潟（日本）
- Year and Date
  2016-08-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Convexity for compositions of set-valued map and monotone scalarizing function2016
- Author(s)
  Shogo Kobayashi, Yutaka Saito, Tamaki Tanaka
- Organizer
  The 5th Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2016)
- Place of Presentation
  朱鷺メッセ，新潟（日本）
- Year and Date
  2016-08-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Generalized alternative theorems based on set-relations2016
- Author(s)
  Yuto Ogata, Yutaka Saito, Tamaki Tanaka, Gue Myung Lee, Jae Hyoung Lee
- Organizer
  The 9th Asian Conference on Fixed point theory and Optimization (ACFPTO2016)
- Place of Presentation
  King Mongkut's University of Technology Thonburi (KMUTT), バンコク（タイ）
- Year and Date
  2016-05-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Convergence analysis of fixed point optimization algorithm for the triple-hierarchical constrained optimization problem2016
- Author(s)
  Thanyarat Jitpeera, Tamaki Tanaka, Poom Kumam
- Organizer
  The Fifth International Conference on Continuous Optimization of the Mathematical Optimization Society (ICCOPT2016)
- Place of Presentation
  政策研究大学院大学，東京（日本）
- Year and Date
  2016-08-08
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Study on set-valued inequality based on set-valued analysis and convex analysis2016
- Author(s)
  Yuto Ogata, Yutaka Saito, Tamaki Tanaka
- Organizer
  The 5th Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia2016)
- Place of Presentation
  朱鷺メッセ，新潟（日本）
- Year and Date
  2016-08-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] On generalization of a fixed point theorem for set-valued maps2016
- Author(s)
  Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Organizer
  The Fifth International Conference on Continuous Optimization of the Mathematical Optimization Society (ICCOPT2016)
- Place of Presentation
  政策研究大学院大学，東京（日本）
- Year and Date
  2016-08-08
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Generalized alternative theorems based on set-relations and an application to semidefinite programming problems2016
- Author(s)
  Yuto Ogata, Gue Myung Lee, Jae Hyoung Lee, Yutaka Saito, Tamaki Tanaka
- Organizer
  The Fifth International Conference on Continuous Optimization of the Mathematical Optimization Society (ICCOPT2016)
- Place of Presentation
  政策研究大学院大学，東京（日本）
- Year and Date
  2016-08-08
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Generalized alternative theorems based on set-relations and its application2016
- Author(s)
  Yuto Ogata, Yutaka Saito, Tamaki Tanaka, Gue Myung Lee, Jae Hyoung Lee
- Organizer
  International Workshop on Nonlinear Optimization and Applications
- Place of Presentation
  Pukyong National University, 釜山（韓国）
- Year and Date
  2016-04-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Generalized alternative theorems based on set-relations and its application2016
- Author(s)
  Yuto Ogata, Gue Myung Lee, Jae Hyoung Lee, Yutaka Saito, Tamaki Tanaka
- Organizer
  「非線形解析学と凸解析学の研究」研究集会
- Place of Presentation
  京都大学数理解析研究所，京都（日本）
- Year and Date
  2016-08-31
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Study on set-valued inequality based on set-valued analysis and convex analysis2015
- Author(s)
  Shogo Kobayashi, Yutaka Saito, Tamaki Tanaka
- Organizer
  The Fifth International Symposium on BANACH and FUNCTION SPACES 2015 (ISBFS2015)
- Place of Presentation
  九州工業大学
- Year and Date
  2015-09-05
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Alternative theorems via set-valued analysis2015
- Author(s)
  Yuto Ogata, Yutaka Saito, Tamaki Tanaka
- Organizer
  The 4th International Congress on Natural Sciences (ICNS2015)
- Place of Presentation
  台湾国立彰化師範大学
- Year and Date
  2015-09-10
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] On set-valued Ricceri's theorem via scalarization2015
- Author(s)
  Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Organizer
  The 4th International Congress on Natural Sciences (ICNS2015)
- Place of Presentation
  台湾国立彰化師範大学
- Year and Date
  2015-09-10
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Fundamental ideas on scalarization for set-valued maps based on set-relations2015
- Author(s)
  Shogo Kobayashi, Yuto Ogata, Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Organizer
  The 4th International Congress on Natural Sciences (ICNS2015)
- Place of Presentation
  台湾国立彰化師範大学
- Year and Date
  2015-09-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] A generalization of some minimax inequality theorem into set-valued maps via scalarization2015
- Author(s)
  Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Organizer
  日本数学会2015年度秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-16
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Scalarization methods for sets and its applications to set-valued Fan-Takahashi inequality2014
- Author(s)
  Shogo Kobayashi, Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Organizer
  The 8th Asian Conference on Fixed Point Theory and Optimization (不動点理論の国際会議ACFPTO2014)
- Place of Presentation
  ナレースワン大学（タイ，ナレースワン）
- Year and Date
  2014-07-29
- Invited
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Observation on Quasiconvexity for Set-Valued Maps via Scalarization2014
- Author(s)
  Tamaki Tanaka, Syuuji Yamada
- Organizer
  The 20th Conference of the International Federation of Operational Research Societies(第20回オペレーションズ・リサーチ学会国際連合会議IFORS2014)
- Place of Presentation
  バルセロナ国際会議場（スペイン，バルセロナ）
- Year and Date
  2014-07-17
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Convexity and quasi-convexity properties for compositions of set-valued map andmonotone scalarizing function2014
- Author(s)
  Tamaki Tanaka
- Organizer
  The First Pacific Optimization Conference (第１回太平洋最適化会議POC2014)
- Place of Presentation
  Lakeview Park Resort （中国，無錫）
- Year and Date
  2014-10-31
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] 逆凸制約をもつ2 次計画問題に対する大域的最適化手法2014
- Author(s)
  山田修司, 田中環, 谷野哲三
- Organizer
  2014 年日本オペレーションズ・リサーチ学会春季研究発表会,
- Place of Presentation
  大阪大学（豊中キャンパス）, 大阪府豊中市
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] Scalarization Technique for Set-Valued Maps2014
- Author(s)
  Tamaki Tanaka
- Organizer
  The Fourth Asian Conference on Nonlinear Analysis and Optimization(非線形解析学と最適化に関するアジア会議NAO2014)
- Place of Presentation
  国立台湾師範大学（台湾，台北）
- Year and Date
  2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] On Generalization of Ricceri's Theorem into Set-Valued Maps via Scalarization2014
- Author(s)
  Yutaka Saito, Tamaki Tanaka, Syuuji Yamada
- Organizer
  京都大学数理解析研究所共同研究集会「非線形解析学と凸解析学の研究」
- Place of Presentation
  京都大学数理解析研究所（日本，京都）
- Year and Date
  2014-08-20
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] Convexity Properties for Compositions of Set-valued Map and Monotone Scalarizing Function2014
- Author(s)
  Shogo Kobayashi, Yutaka Saito, Tamaki Tanaka
- Organizer
  京都大学数理解析研究所共同研究集会「非線形解析学と凸解析学の研究」
- Place of Presentation
  京都大学数理解析研究所（日本，京都）
- Year and Date
  2014-08-19
- Data Source
  KAKENHI-PROJECT-26400194
[Presentation] A Global Optimization Method for a Quadratic Programming Problem with the Reverse Convex Constraint2013
- Author(s)
  山田修司, 田中環, 谷野哲三
- Organizer
  26th European Conference on Operational Research
- Place of Presentation
  ローマ，イタリア
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] 錐DCベクトル最適化問題に対する最適性条件2013
- Author(s)
  山田修司, 田中環, 谷野哲三
- Organizer
  京都大学数理解析研究所共同研究事業研究集会「非線形解析学と凸解析学の研究」
- Place of Presentation
  京都大学数理解析研究所, 京都市左京区
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] Optimization over the Weakly Efficient Set of a Multiobjective Programming Problem Constrained by Quadratic Functions2013
- Author(s)
  山田修司, 田中環, 谷野哲三
- Organizer
  22nd International Conference on Multiple Criteria Decision Making
- Place of Presentation
  マラガ，スペイン
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] Some Properties of Vector-Valued Cone-DC Function and Applications2013
- Author(s)
  山田修司, 田中環, 谷野哲三
- Organizer
  The Eighth International Conference on Nonlinear Analysis and Convex Analysis
- Place of Presentation
  弘前大学（文京町地区キャンパス）, 青森県弘前市
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] 逆凸制約をもつ2 次計画問題に対するKKT 点列挙法を用いた分枝限定法2013
- Author(s)
  山田修司, 田中環, 谷野哲三
- Organizer
  第56回自動制御連合講演会
- Place of Presentation
  新潟大学（五十嵐キャンパス）, 新潟市西区
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] A global optimization algorithm for a quadratic DC programming problem2013
- Author(s)
  山田修司, 田中環, 谷野哲三
- Organizer
  The 9th International Conference on Optimization: Techniques and Applications
- Place of Presentation
  台北，台湾
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] 弱有効解集合上でのリプシッツ最適化問題に対する外部近似法2012
- Author(s)
  山田修司，田中環，谷野哲三
- Organizer
  第56回システム制御情報学会研究発表講演会
- Place of Presentation
  京都テルサ
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] Optimization over the weakly efficient set2012
- Author(s)
  山田修司，田中環，谷野哲三
- Organizer
  不確実性の下でのデータ解析と意思決定に関する第15回チェコ－日本セミナー
- Place of Presentation
  大阪大学（豊中キャンパス）
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] Iterative solution methods for a canonical dc programming problem2012
- Author(s)
  山田修司，田中環，谷野哲三
- Organizer
  オペレーショナル・リサーチに関する第25回ヨーロッパ会議
- Place of Presentation
  ヴィリニュス，リトアニア
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] Global optimization methods utilizing partial separating hyperplanes for a canonical dc programming problem2012
- Author(s)
  山田修司，田中環，谷野哲三
- Organizer
  数理計画に関する第21回国際シンポジウム
- Place of Presentation
  ベルリン，ドイツ
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] Some properties of vector-valued cone-convex functions2012
- Author(s)
  山田修司，田中環，谷野哲三
- Organizer
  非線形解析と最適化に関する第3回アジア会議
- Place of Presentation
  松江
- Data Source
  KAKENHI-PROJECT-24540118
[Presentation] Some minimax theorems for set-valued maps2011
- Author(s)
  Tamaki Tanaka
- Organizer
  The Seventh International Conference on Nonlinear Analysis and Convex Analysis(非線形解析学と凸解析学に関する第7回国際会議,NACA2011)
- Place of Presentation
  韓国・釜山・国立釜慶大学校(Pukyong National University, Pusan, Korea)(招待講演)
- Year and Date
  2011-08-04
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] Some minimax theorems for set-valued maps2011
- Author(s)
  Tamaki Tanaka
- Organizer
  The Seventh International Conference on Nonlinear Analysis and Convex Analysis(非線形解析学と凸解析学に関する第7回国際会議, NACA2011)
- Place of Presentation
  韓国釜山市,国立釜慶大学校
- Year and Date
  2011-08-04
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] Nonlinear scalarizing functions for set-valued maps andits applications(招待講演)2010
- Author(s)
  Tamaki Tanaka
- Organizer
  The Second Conference on Nonlinear Analysis and Optimization(NAO-Asia 2010)
- Place of Presentation
  タイ・プーケット,ロイヤルパラダイスホテル
- Year and Date
  2010-09-09
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] Inherited properties of nonlinear scalarizing functions forset-valued maps2010
- Author(s)
  Tamaki Tanaka
- Organizer
  The 8th International Conference on Optimization Techniques and Applications(ICOTA8)
- Place of Presentation
  中国上海復旦大学(Fudan Univ, Shanghai, China)
- Year and Date
  2010-12-11
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] Inherited properties of nonlinear scalarizing functions for set-valued maps2010
- Author(s)
  Tamaki Tanaka
- Organizer
  The 8th International Conference on Optimization : Techniques and Applications(最適化の技術と応用に関する第8回国際会議, ICOTA8)
- Place of Presentation
  中華人民共和国,上海市,復旦大学
- Year and Date
  2010-12-11
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] Nonlinear scalarizing functions for set-valued maps and its applications2010
- Author(s)
  Tamaki Tanaka
- Organizer
  The Second Asian Conference on Nonlinear Analysis and Optimization(第2回非線形解析学と最適化に関するアジア会議, NAO-Asia2010)
- Place of Presentation
  タイ・プーケット,ロイヤルパラダイスホテル
- Year and Date
  2010-09-09
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] Inherited properties of nonlinear scalarizing functions for set-valued maps2010
- Author(s)
  Tamaki Tanaka
- Organizer
  International Symposium2010 : Nonlinear Analysis and Optimization
- Place of Presentation
  韓国釜山市,国立釜慶大学校
- Year and Date
  2010-02-05
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] On efficient saddle points for set-valued maps2009
- Author(s)
  Tamaki Tanaka
- Organizer
  The Sixth Internatinal Conference on Nonlinear Analysis and Convex Analysis
- Place of Presentation
  東京都, 東京工業大学
- Year and Date
  2009-03-30
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] On nonlinear scalarizing functions for set-valued maps2009
- Author(s)
  Tamaki Tanaka
- Organizer
  Abstract Harmonic Analysis 2009
- Place of Presentation
  台湾高雄市,国立中山大学
- Year and Date
  2009-12-19
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] Inherited properties of nonlinear scalarizing functions for set-valued maps2009
- Author(s)
  Tamaki Tanaka
- Organizer
  The 9th International Conference on Fixed Point Theory and Its Applications
- Place of Presentation
  台湾彰化市,国立彰化師範大学
- Year and Date
  2009-07-18
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] ベクトル空間における集合のスカラー化数値計算法について2009
- Author(s)
  田中環
- Organizer
  日本オペレーションズ・リサーチ学会秋季研究発表会
- Place of Presentation
  長崎大学
- Year and Date
  2009-09-10
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] ベクトル空間における集合のスカラー化数値計算法について2009
- Author(s)
  田中環
- Organizer
  第52回自動制御連合講演会
- Place of Presentation
  大阪大学
- Year and Date
  2009-11-21
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] Inherited properties of nonlinear scalarizing functions for set-valued maps (招待講演)2009
- Author(s)
  Tamaki Tanaka
- Organizer
  The 9th International Conference on Fixed Point Theory and Its Applications
- Place of Presentation
  台湾彰化市,国立彰化師範大学
- Year and Date
  2009-07-18
- Data Source
  KAKENHI-PROJECT-21540121
[Presentation] Computational algorithm for nonlinear scalarization methods on sets2008
- Author(s)
  Tamaki Tanaka
- Organizer
  The 4th Sino-Japanese Optimization Meeting
- Place of Presentation
  台湾台南市, 成功大学
- Year and Date
  2008-08-28
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] Several nonlinear sealarization methods for set-valued maps2008
- Author(s)
  Tamaki Tanaka
- Organizer
  「非線形解析学と凸解析学の研究」研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-09-01
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] Several nonlinear scalarization methods for set-valued maps2008
- Author(s)
  Tamaki Tanaka
- Organizer
  「非線形解析学と凸解析学の研究」研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-09-01
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] A unified approach for scalarization on sets2008
- Author(s)
  Tamaki Tanaka
- Organizer
  The Asian Conference on Nonlinear Analysis and Optimization
- Place of Presentation
  松江市, くにびきメッセ
- Year and Date
  2008-09-15
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] A unified approach for scalarization on sets2008
- Author(s)
  Tamaki Tanaka
- Organizer
  2008 Workshop on Ninlinear Analysisand Optimization
- Place of Presentation
  台湾台北市,国立台湾師範大学
- Year and Date
  2008-12-18
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] Several nonlinear scalarization methods on sets2008
- Author(s)
  Tamaki Tanaka
- Organizer
  9-th International Symposium on Generalized Convexity and Generalized Monotonicity
- Place of Presentation
  台湾高雄市, 中山大学
- Year and Date
  2008-07-24
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] A unified approach for sca1arization on sets2008
- Author(s)
  Tamaki Tanaka
- Organizer
  The Asian Conference on Nonlinear Analysis and Optimization
- Place of Presentation
  松江市, くにびきメッセ
- Year and Date
  2008-09-15
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] A unified approach for scalarization on sets2008
- Author(s)
  Tamaki Tanaka
- Organizer
  2008 Workshop on Ninlinear Analysis and Optimization
- Place of Presentation
  台湾台北市, 国立台湾師範大学
- Year and Date
  2008-12-18
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] Computational procedure on scalarization algorithm for set-valued maps2007
- Author(s)
  Tamaki Tanaka
- Organizer
  The Fifth Internatinal Conference on Nonlinear Analysis and Convex Analysis (NACA2007)
- Place of Presentation
  台湾新竹市,清華大学
- Year and Date
  2007-05-31
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] Scalarization algorithm for set-valued maps with d.c. set images2007
- Author(s)
  Tamaki Tanaka
- Organizer
  The 7th International Conference on Optimization: Techniques and Applications (ICOTA 2007)
- Place of Presentation
  神戸国際会議センター
- Year and Date
  2007-12-13
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] Computational procedure on scalarization algorithm for set-valued maps2007
- Author(s)
  Tamaki Tanaka
- Organizer
  The Fifth Internatinal Conference on Nonlinear Analysis and Convex Analysis (NACA2007)
- Place of Presentation
  台湾新竹市, 清華大学
- Year and Date
  2007-05-31
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] A characterization of efficient saddle point for set-valued maps2007
- Author(s)
  Tamaki Tanaka
- Organizer
  The Second China Meeting on Game Theory and Applications (CMGTA2007)
- Place of Presentation
  中華人民共和国青島市, 青島大学
- Year and Date
  2007-09-17
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] Scalarization algorithm for set-valued maps with d.c. set images2007
- Author(s)
  Tamaki Tanaka
- Organizer
  The 7th International Conference on Optimization : Techniques and Applications (ICOTA 2007)
- Place of Presentation
  神戸国際会議センター
- Year and Date
  2007-12-13
- Data Source
  KAKENHI-PROJECT-19540120
[Presentation] A characterization of efficient saddle point for set-valued maps2007
- Author(s)
  Tamaki Tanaka
- Organizer
  The Second China Meeting on Game Theory and Applications (CMGTA2007)
- Place of Presentation
  中華人民共和国青島市,青島大学
- Year and Date
  2007-09-17
- Data Source
  KAKENHI-PROJECT-19540120

1. YAMADA Syuuji (80331544)

# of Collaborated Projects: 10 results

# of Collaborated Products: 51 results
2. TANINO Tetsuzo (50125605)

# of Collaborated Projects: 7 results

# of Collaborated Products: 28 results
3. KUROIWA Daishi (40284020)

# of Collaborated Projects: 6 results

# of Collaborated Products: 1 results
4. MATSUSHITA Shin-ya (20435449)

# of Collaborated Projects: 5 results

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5. ISOGAI Eiichi (40108014)

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6. YAMAUCHI Takamitsu (00403444)

# of Collaborated Projects: 4 results

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7. LIU Xuefeng (50571220)

# of Collaborated Projects: 3 results

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8. KON Masamichi (50298379)

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9. AKAHIRA Masafumi (70017424)

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10. UNO Chikara (20282155)

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13. 榊真 (20225783)

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14. 齋藤裕 (50806057)

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15. KUWANO Hiroaki (30279864)

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17. TAKEUCHI Teruo (10018848)

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18. KIMURA Kinji (10447899)

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19. 新藤皓治 (50003463)

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20. 吉岡良雄 (20113871)

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27. 田中謙輔 (70018258)

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28. 高橋渉 (40016142)

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30. KIMURA Kenji

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31. HIGUCHI Masakazu

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
32. 木村欽司

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

TANAKA Tamaki 田中 環

田中 環 タナカ タマキ

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集合最適化の研究と漸近理論への応用Principal Investigator

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Set Optimization for sets with inferior-to-superior relationship and its applications to numerical analysisPrincipal Investigator

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Study on Set-Valued Inequalities based on Set-Valued Analysis and Convex Analysis and its Applications to Optimization ProblemsPrincipal Investigator

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Study on Nonlinear Scalarization Methods for Set-Valued Maps and its Applications into Mathematical ProgrammingPrincipal Investigator

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Study on Nonlinear Scalarization Methods for Set-Valued Maps and its Applications into Mathematical ProgrammingPrincipal Investigator

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TANAKA Tamaki 田中環

田中環タナカタマキ