Asymptotic behavior of inexact orbits for a class of operators in complete metric spaces0

Dan Butnariu; Simeon Reich; Alexander J. Zaslavski

doi:10.1515/JAA.2007.1

Asymptotic behavior of inexact orbits for a class of operators in complete metric spaces0

Dan Butnariu, Simeon Reich, Alexander J. Zaslavski

Department of Mathematics

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

Abstract

We exhibit a class of nonlinear operators with the property that their iterates converge to their unique fixed points even when computational errors are present. We also show that most (in the sense of the Baire category) elements in an appropriate complete metric space of operators do, in fact, possess this property.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Journal of Applied Analysis
Volume	13
Issue number	1
DOIs	https://doi.org/10.1515/JAA.2007.1
State	Published - Jun 2007

Bibliographical note

Funding Information:
Acknowledgments. A part of the first author’s work on this paper was carried out when he was visiting the Institute of Mathematics of the Technical University of Lódź. The second author was partially supported by the Fund for the Promotion of Research at the Technion and by the Technion VPR Fund — B. and G. Greenberg Research Fund (Ottawa). All three authors are grateful to a referee for a careful reading of the manuscript and for many helpful comments.

Keywords

Complete metric space
Generic property
Inexact orbit
Iteration

ASJC Scopus subject areas

Mathematical Physics
Statistics, Probability and Uncertainty
Computational Theory and Mathematics
Applied Mathematics

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10.1515/JAA.2007.1

Cite this

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KW - Iteration

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Asymptotic behavior of inexact orbits for a class of operators in complete metric spaces0

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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