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Volume 12
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Article

Convergence of Inexact Iterates of Monotone Nonexpansive Mappings with Summable Errors

by
Simeon Reich
* and
Alexander J. Zaslavski
Department of Mathematics, The Technion—Israel Institute of Technology, Haifa 32000, Israel
*
Author to whom correspondence should be addressed.
Axioms 2023, 12(1), 15; https://doi.org/10.3390/axioms12010015
Submission received: 29 November 2022 / Revised: 16 December 2022 / Accepted: 19 December 2022 / Published: 23 December 2022
Versions Notes

Abstract

In our 2006 paper with D. Butnariu, it was shown that the convergence of iterates of a nonexpansive self-mapping of a complete metric space is stable in the presence of summable computational errors. In the present paper, we establish such results for monotone nonexpansive mappings.
Keywords: complete metric space; fixed point; inexact iterate; monotone nonexpansive mapping complete metric space; fixed point; inexact iterate; monotone nonexpansive mapping

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MDPI and ACS Style

Reich, S.; Zaslavski, A.J. Convergence of Inexact Iterates of Monotone Nonexpansive Mappings with Summable Errors. Axioms 2023, 12, 15. https://doi.org/10.3390/axioms12010015

AMA Style

Reich S, Zaslavski AJ. Convergence of Inexact Iterates of Monotone Nonexpansive Mappings with Summable Errors. Axioms. 2023; 12(1):15. https://doi.org/10.3390/axioms12010015

Chicago/Turabian Style

Reich, Simeon, and Alexander J. Zaslavski. 2023. "Convergence of Inexact Iterates of Monotone Nonexpansive Mappings with Summable Errors" Axioms 12, no. 1: 15. https://doi.org/10.3390/axioms12010015

APA Style

Reich, S., & Zaslavski, A. J. (2023). Convergence of Inexact Iterates of Monotone Nonexpansive Mappings with Summable Errors. Axioms, 12(1), 15. https://doi.org/10.3390/axioms12010015

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