Ky Fan minimax inequalities for set-valued mappings

被引：14
|
作者：
Zhang, Yu [1 ]
Li, Sheng-Jie [1 ,2 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[2] Math Sci Res Inst Chongqing, Chongqing 401331, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
基金：
中国国家自然科学基金;
关键词：
minimax inequality; fixed point theorem; set-valued mapping; CONE SADDLE-POINTS; THEOREMS;
D O I：
10.1186/1687-1812-2012-64
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, by virtue of the Kakutani-Fan-Glicksberg fixed point theorem, two types of Ky Fan minimax inequalities for set-valued mappings are obtained. Some examples are given to illustrate our results.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Ky Fan minimax inequalities for set-valued mappings
    Yu Zhang
    Sheng-Jie Li
    [J]. Fixed Point Theory and Applications, 2012
  • [2] GENERALIZED KY FAN MINIMAX INEQUALITIES FOR SET-VALUED MAPPINGS
    Zhang, Y.
    Li, S. J.
    [J]. FIXED POINT THEORY, 2014, 15 (02): : 609 - 622
  • [3] KY FAN MINIMAX INEQUALITIES FOR SET-VALUED MAPPINGS ON DENSE SETS
    Zhang, Chuang-Liang
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2019, 10 (04): : 496 - 508
  • [4] Minimax inequalities for set-valued mappings
    Zhang, Y.
    Li, S. J.
    Li, M. H.
    [J]. POSITIVITY, 2012, 16 (04) : 751 - 770
  • [5] Minimax inequalities for set-valued mappings
    Y. Zhang
    S. J. Li
    M. H. Li
    [J]. Positivity, 2012, 16 : 751 - 770
  • [6] The Hierarchical Minimax Inequalities for Set-Valued Mappings
    Lin, Yen-Cherng
    Pang, Chin-Tzong
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [7] Generalized minimax inequalities for set-valued mappings
    Li, SJ
    Chen, GY
    Teo, KL
    Yang, XQ
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (02) : 707 - 723
  • [8] UNIFIED SCALARIZATION FOR SETS AND SET-VALUED KY FAN MINIMAX INEQUALITY
    Kuwano, Issei
    Tanaka, Tamaki
    Yamada, Syuuji
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2010, 11 (03) : 513 - 525
  • [9] Minimax Theorems for Set-Valued Mappings
    S. J. Li
    G. Y. Chen
    G. M. Lee
    [J]. Journal of Optimization Theory and Applications, 2000, 106 : 183 - 200
  • [10] MINIMAX PROBLEMS FOR SET-VALUED MAPPINGS
    Zhang, Y.
    Li, S. J.
    Zhu, S. K.
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (02) : 239 - 253
12345