NONLINEAR ERGODIC THEOREM FOR POSITIVELY HOMOGENEOUS NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引：4

作者：

Takahashi, Wataru ^{[1
,2
]}

Wong, Ngai-Ching ^{[1
,3
]}

Yao, Jen-Chih ^{[3
,4
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan

[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung, Taiwan

[4] King Abdulaziz Univ, Dept Math, Jeddah 21413, Saudi Arabia

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2014年 / 35卷 / 01期

基金：

日本学术振兴会;

关键词：

Banach limit; Banach space; Fixed point; Mean convergence; Nonexpansive mapping; Positively homogeneous mapping; STRONG-CONVERGENCE THEOREMS; ATTRACTIVE POINT THEOREMS; PROXIMAL-TYPE ALGORITHM; ASYMPTOTIC-BEHAVIOR; CONTRACTIONS; RETRACTIONS; SEMIGROUP; OPERATORS;

D O I：

10.1080/01630563.2013.809737

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, two retractions (projections), which are different from the metric projection and the sunny nonexpansive retraction in a Banach space, were found. In this article, using nonlinear analytic methods and new retractions, we prove a nonlinear ergodic theorem for positively homogeneous and nonexpansive mappings in a uniformly convex Banach space. The limit points are characterized by using new retractions.

引用

页码：85 / 98

页数：14

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