Stable convergence theorems for infinite products and powers of nonexpansive mappings

被引：35

作者：

Butnariu, Dan ^{[2
]}

Reich, Simeon ^{[1
]}

Zaslavski, Alexander J. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Univ Haifa, Dept Math, IL-31999 Haifa, Israel

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2008年 / 29卷 / 3-4期

基金：

以色列科学基金会;

关键词：

amalgamated operators method; complete metric space; convex feasibility problem; fixed point; infinite product; weak ergodic theorem;

D O I：

10.1080/01630560801998161

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that several previously established convergence theorems for infinite products and powers of nonexpansive mappings continue to hold even when summablee computational errors are present. Such results find application in methods for solving convex feasibility and optimization problems.

引用

页码：304 / 323

页数：20

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