A SIMPLE PROOF OF THE SION MINIMAX THEOREM

被引：3

作者：

Park, Sehie ^{[1
,2
]}

机构：

[1] Natl Acad Sci, Seoul 137044, South Korea

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 05期

关键词：

minimax theorem; KKM principle; Fan-Browder fixed point theorem;

D O I：

10.4134/BKMS.2010.47.5.1037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For convex subsets X of a topological vector space E, we show that a KKM principle implies a Fan-Browder type fixed point theorem and that this theorem implies generalized forms of the Sion minimax theorem.

引用

页码：1037 / 1040

页数：4

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