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
  • [31] A new general algorithm for set-valued mappings and equilibrium problem
    Vahidi, Javad
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1103 - 1115
  • [32] Ky Fan Matching Theorems for MFC Mappings in FC-Metric Spaces with the Application to Minimax Inequalities
    Li, He Rui
    Wen, Kai Ting
    [J]. CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING, PTS 1-4, 2014, 838-841 : 2219 - 2222
  • [33] On Set-Valued Mappings with Starlike Graphs
    Khachatryan, R. A.
    [J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2012, 47 (01): : 28 - 44
  • [34] On set-valued mappings with starlike graphs
    R. A. Khachatryan
    [J]. Journal of Contemporary Mathematical Analysis, 2012, 47 : 28 - 44
  • [35] Fuzzy integrals for set-valued mappings
    Cho, SJ
    Lee, BS
    Lee, GM
    Kim, DS
    [J]. FUZZY SETS AND SYSTEMS, 2001, 117 (03) : 333 - 337
  • [36] An intersection theorem for set-valued mappings
    Ravi P. Agarwal
    Mircea Balaj
    Donal O’Regan
    [J]. Applications of Mathematics, 2013, 58 : 269 - 278
  • [37] On the ∈-variational principle for set-valued mappings
    Li, S. J.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (10) : 1627 - 1632
  • [38] FRAGMENTABILITY AND SELECTIONS OF SET-VALUED MAPPINGS
    Kenderov, P. S.
    Revalski, J. P.
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (06) : 1069 - 1082
  • [39] Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points
    Debnath, Pradip
    de La Sen, Manuel
    [J]. SYMMETRY-BASEL, 2020, 12 (03):
  • [40] FUZZY INTEGRALS OF SET-VALUED MAPPINGS AND FUZZY MAPPINGS
    ZHANG, D
    GUO, CM
    [J]. FUZZY SETS AND SYSTEMS, 1995, 75 (01) : 103 - 109
12345