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
收藏
页码：825 / 843
页数：19
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