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

页码：3143 / 3150

页数：8

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