Convergence of almost-orbits of nonexpansive semigroups in banach spaces

被引：3
|
作者：
Lau, Anthony To-Ming [1 ]
Nishiura, Koji
Takahashi, Wataru
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
[3] Fukushima Natl Coll Technol, Dept Gen Educ, Iwaki, Fukushima 9708034, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 10期
关键词：
mean ergodic theorem; nonexpansive semigroup; almost-orbit; regular net; invariant mean;
D O I：
10.1090/S0002-9939-07-08999-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to show that the study of mean ergodic theorems for almost-orbits of semigroups of nonexpansive mappings on closed convex subsets of a Banach space can be reduced to the study of orbits for semigroups of nonexpansive mappings. This provides a uni. ed approach to various mean ergodic theorems for almost-orbits in the literature and new applications.
引用
收藏
页码：3143 / 3150
页数：8
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