MINIMAX PROBLEMS OF UNIFORMLY SAME-ORDER SET-VALUED MAPPINGS

被引:1
|
作者
Zhang, Yu [1 ,2 ]
Li, Shengjie [1 ]
机构
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[2] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China
基金
中国国家自然科学基金;
关键词
minimax theorem; cone loose saddle point; uniformly same-order mapping; vector optimization; SADDLE-POINTS; CONVEX-SPACES; THEOREMS; MAPS;
D O I
10.4134/BKMS.2013.50.5.1639
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a class of set-valued mappings is introduced, which is called uniformly same-order. For this sort of mappings, some minimax problems, in which the minimization and the maximization of set-valued mappings are taken in the sense of vector optimization, are investigated without any hypotheses of convexity.
引用
收藏
页码:1639 / 1650
页数:12
相关论文
共 50 条
  • [1] MINIMAX PROBLEMS FOR SET-VALUED MAPPINGS
    Zhang, Y.
    Li, S. J.
    Zhu, S. K.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (02) : 239 - 253
  • [2] MINIMAX PROBLEMS FOR SET-VALUED MAPPINGS WITH SET OPTIMIZATION
    Zhang, Yu
    Chen, Tao
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2014, 4 (04): : 327 - 340
  • [3] Minimax inequalities for set-valued mappings
    Zhang, Y.
    Li, S. J.
    Li, M. H.
    POSITIVITY, 2012, 16 (04) : 751 - 770
  • [4] GENERALIZED KY FAN MINIMAX INEQUALITIES FOR SET-VALUED MAPPINGS
    Zhang, Y.
    Li, S. J.
    FIXED POINT THEORY, 2014, 15 (02): : 609 - 622
  • [5] GENERALIZED MINIMAX THEOREMS FOR TWO SET-VALUED MAPPINGS
    Zhang, Qingbang
    Cheng, Caozong
    Li, Xuanxuan
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2013, 9 (01) : 1 - 12
  • [6] Generalized hierarchical minimax theorems for set-valued mappings
    Wang, Haijun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [7] Minimax theorems for scalar set-valued mappings with nonconvex domains and applications
    Zhang, Y.
    Li, S. J.
    JOURNAL OF GLOBAL OPTIMIZATION, 2013, 57 (04) : 1359 - 1373
  • [8] Minimax Theorem for Two Set-Valued Mappings with Nonconvex Domains
    Zhang, Qing-bang
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, 42 (12) : 1444 - 1460
  • [9] Ky Fan minimax inequalities for set-valued mappings
    Zhang, Yu
    Li, Sheng-Jie
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [10] Minimax theorems for scalar set-valued mappings with nonconvex domains and applications
    Y. Zhang
    S. J. Li
    Journal of Global Optimization, 2013, 57 : 1359 - 1373