KY FAN MINIMAX INEQUALITIES FOR SET-VALUED MAPPINGS ON DENSE SETS

被引:1
作者
Zhang, Chuang-Liang [1 ]
机构
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
来源
ANNALS OF FUNCTIONAL ANALYSIS | 2019年 / 10卷 / 04期
关键词
minimax inequality; variational inequality; equilibrium problem; set-valued mapping; EQUILIBRIUM PROBLEMS; EXISTENCE; THEOREMS;
D O I
10.1215/20088752-2019-0008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give a natural Ky Fan minimax inequality version of set-valued maps, and we deal with a type of vector equilibrium problem for set-valued mappings on a special dense set not on the whole domain. We use these results as applications to study the solutions of a generalized set-valued vector variational inequality.
引用
收藏
页码:496 / 508
页数:13
相关论文
共 50 条
  • [21] On Some Generalized Ky Fan Minimax Inequalities
    Xianqiang Luo
    Fixed Point Theory and Applications, 2009
  • [22] MINIMAX PROBLEMS OF UNIFORMLY SAME-ORDER SET-VALUED MAPPINGS
    Zhang, Yu
    Li, Shengjie
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (05) : 1639 - 1650
  • [23] Minimax inequalities and fixed points of expansive set-valued mappings with noncompact and nonconvex domains and ranges in topological spaces
    Ding, Xie Ping
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (02) : 881 - 889
  • [24] An intersection theorem for set-valued mappings
    Agarwal, Ravi P.
    Balaj, Mircea
    O'Regan, Donal
    APPLICATIONS OF MATHEMATICS, 2013, 58 (03) : 269 - 278
  • [25] Weak Subdifferentials for Set-Valued Mappings
    X. J. Long
    J. W. Peng
    X. B. Li
    Journal of Optimization Theory and Applications, 2014, 162 : 1 - 12
  • [26] Weak Subdifferentials for Set-Valued Mappings
    Long, X. J.
    Peng, J. W.
    Li, X. B.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 162 (01) : 1 - 12
  • [27] Decompositions of set-valued mappings
    Protasov, I
    ALGEBRA AND DISCRETE MATHEMATICS, 2020, 30 (02): : 235 - 238
  • [28] On a Class of Variational-Hemivariational Inequalities Involving Upper Semicontinuous Set-Valued Mappings
    Tang, Guo-ji
    Wang, Zhong-bao
    Zhang, Hong-ling
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [29] NONEXPANSIVE SET-VALUED MAPPINGS ON BOUNDED STAR-SHAPED SETS
    Reich, Simeon
    Zaslavski, Alexander J.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (07) : 1383 - 1392
  • [30] APPROXIMATE FIXED POINTS OF NONEXPANSIVE SET-VALUED MAPPINGS IN UNBOUNDED SETS
    Reich, Simeon
    Zaslavski, Alexander J.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (09) : 1707 - 1716