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.

引用

页码：1639 / 1650

页数：12

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