Nonlinear mean ergodic theorems for nonexpansive semigroups in Banach spaces

被引：4

作者：

Miyake, Hiromichi ^{[1
]}

Takahashi, Wataru ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2007年 / 2卷 / 02期

关键词：

Nonlinear ergodic theorem; nonexpansive semigroup; invariant mean;

D O I：

10.1007/s11784-007-0039-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove two nonlinear ergodic theorems for noncommutative semigroups of nonexpansive mappings in Banach spaces. Using these results, we obtain some nonlinear ergodic theorems for discrete and one-parameter semigroups of nonexpansive mappings.

引用

页码：369 / 382

页数：14

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