Stable convergence theorems for infinite products and powers of nonexpansive mappings

Dan Butnariu; Simeon Reich; Alexander J. Zaslavski

doi:10.1080/01630560801998161

Stable convergence theorems for infinite products and powers of nonexpansive mappings

Dan Butnariu, Simeon Reich, Alexander J. Zaslavski

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	304-323
Number of pages	20
Journal	Numerical Functional Analysis and Optimization
Volume	29
Issue number	3-4
DOIs	https://doi.org/10.1080/01630560801998161
State	Published - Mar 2008

Bibliographical note

Funding Information:
This research was supported by the Israel Science Foundation (grant no. 647/07), the Fund for the Promotion of Research at the Technion, and by the Technion President’s Research Fund. The first author was supported by the Technion-University of Haifa Joint Research Fund.

Keywords

Amalgamated operators method
Complete metric space
Convex feasibility problem
Fixed point
Infinite product
Weak ergodic theorem

ASJC Scopus subject areas

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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10.1080/01630560801998161

Cite this

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

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author = "Dan Butnariu and Simeon Reich and Zaslavski, {Alexander J.}",

note = "Funding Information: This research was supported by the Israel Science Foundation (grant no. 647/07), the Fund for the Promotion of Research at the Technion, and by the Technion President{\textquoteright}s Research Fund. The first author was supported by the Technion-University of Haifa Joint Research Fund.",

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KW - Complete metric space

KW - Convex feasibility problem

KW - Fixed point

KW - Infinite product

KW - Weak ergodic theorem

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Stable convergence theorems for infinite products and powers of nonexpansive mappings

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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