Normal Structure and Common Fixed Point Properties for Semigroups of Nonexpansive Mappings in Banach Spaces

被引：15
|
作者：
Lau, Anthony To-Ming [1 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
基金：
加拿大自然科学与工程研究理事会;
关键词：
FOURIER-STIELTJES ALGEBRAS; NON-EXPANSIVE MAPPINGS; LOCALLY COMPACT-GROUPS; INVARIANT-MEANS; TOPOLOGICAL SEMIGROUPS; FAMILIES; THEOREM; OPERATORS; CENTERS;
D O I：
10.1155/2010/580956
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1965, Kirk proved that if C is a nonempty weakly compact convex subset of a Banach space with normal structure, then every nonexpansive mapping T : C -> C has a fixed point. The purpose of this paper is to outline various generalizations of Kirk's fixed point theorem to semigroup of nonexpansive mappings and for Banach spaces associated to a locally compact group. Copyright (C) 2010 Anthony To-Ming Lau.
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页数：14
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