An Minimax Theorem for Bi-Lower-Semicontinuous Set-Valued Mappings

被引：1

作者：

Jin, Caiyun ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2019年 / 40卷 / 07期

关键词：

Set-valued mapping; minimax theorem; bi-lower-semicontinuous; approximate minimal point; APPROXIMATE SOLUTIONS; INEQUALITIES; OPTIMIZATION; POINTS;

D O I：

10.1080/01630563.2018.1559188

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, an approximate minimax theorem for bi-lower-semicontinuous set-valued mapping was proved, relationships between semicontinuous set-valued mappings are discussed and the existence of approximate maxmin was given. The minimax theorem in this article is the first minimax theorem that doesn't require the set-valued mappings to be continuous.

引用

页码：825 / 843

页数：19

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