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
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 05期
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.
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页码：1639 / 1650
页数：12
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