Invariant submeans and semigroups of nonexpansive mappings on Banach spaces with normal structure

被引：28

作者：

Lau, ATM ^{[1
]}

Takahashi, W ^{[1
]}

机构：

[1] TOKYO INST TECHNOL, DEPT MATH & COMP SCI, MEGURO KU, TOKYO 152, JAPAN

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1996年 / 142卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1006/jfan.1996.0144

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the relation between invariant submean and normal structure in a Banach space. This is used to give an improvement and different proof of a fixed point theorem of Lim (also of Belluce and Kirk for commutative semigroups) for left reversible semigroup of nonexpansive mappings on weakly compact convex subsets of a Banach space with normal structure. (C) 1996 Academic Press, Inc.

引用

页码：79 / 88

页数：10

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