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
收藏
页码：79 / 88
页数：10
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