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
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