Some minimax theorems of set-valued maps and their applications

被引：8

作者：

Kuwano, Issei ^{[1
]}

机构：

[1] Kanagawa Univ, Fac Engn, Yokohama, Kanagawa 2218686, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 109卷

关键词：

Set-valued optimization; Scalarization; Minimax theorem; SADDLE-POINTS; EXISTENCE THEOREMS; OPTIMIZATION;

D O I：

10.1016/j.na.2014.06.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we consider two types of scalarization functions of sets and investigate their properties. Moreover, based on two set-relations, we propose two kinds of minimax and maximin values of set-valued maps, respectively, and show some minimax theorems of set-valued maps with respect to those minimax and maximin values by using several properties of the above two functions. As an application of these results, we give common saddle point theorems of vector-valued functions. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：85 / 102

页数：18

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