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.
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页码：2157 / 2162
页数：6
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