A contractive fixed point free mapping on a weakly compact convex set

被引：3

作者：

Burns, Jared ^{[1
]}

Lennard, Chris ^{[1
]}

Sivek, Jeromy ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

STUDIA MATHEMATICA | 2014年 / 223卷 / 03期

关键词：

contractive mapping; fixed point free mapping; nonexpansive mapping; fixed point property; closed; bounded; convex set; weakly compact convex set; OPERATORS; SPACE;

D O I：

10.4064/sm223-3-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of a contractive mapping on a weakly compact convex set in a Banach space that is fixed point free. This answers a long-standing open question.

引用

收藏

页码：275 / 283

页数：9

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