Saddle point theorems on generalized convex spaces

被引：4

作者：

Kim, IS

Park, S ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2000年 / 5卷 / 04期

关键词：

generalized convex space; saddle point; lower or upper semicontinuous function; acyclic map; coincidence theorem; minimax theorem;

D O I：

10.1155/S1025583400000217

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sharpened extension of Komiya's saddle point theorem is obtained for generalized convex spaces. Moreover, we show that convexity of the involved sets in his theorem can be replaced by acyclicity, and continuity of the involved functions by lower and upper semicontinuity.

引用

页码：397 / 405

页数：9

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