Fixed points for convex continuous mappings in topological vector spaces

被引：11

作者：

Chen, YQ ^{[1
]}

机构：

[1] Ohio Univ, Dept Math, Athens, OH 45701 USA

[2] Sichuan Univ, Chengdu 610064, Sichuan, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 07期

关键词：

topological vector space; convex compact set; fixed point;

D O I：

10.1090/S0002-9939-00-05767-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the following result. Let C be a convex compact subset in a topological vector space, and T : C --> C a convex continuous mapping. (See Definition 1.1.) Then T has a fixed point. Moreover, continuous mappings that can be approximated by convex continuous mappings also have the fixed point property.

引用

页码：2157 / 2162

页数：6

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