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Alexander J. Zaslavski, Convergence of inexact iterates of an algorithm based on unions of nonexpansive mappings

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DOI: 10.23952/asvao.5.2023.2.11
Volume 5, Issue 2, 1 August 2023, Pages 285-289

 

Abstract. In this paper, we obtain a generalization of a recent result of Tam (2018) which is for iterates of a set-valued paracontracting operators in a finite-dimensional space. Our result in this paper is obtained for operators in a metric space such that every its bounded and closed set is compact. We establish a convergence of inexact iterates of the set-valued operator by taking into account computational errors.

 

How to Cite this Article:
A.J. Zaslavski, Convergence of inexact iterates of an algorithm based on unions of nonexpansive mappings, Appl. Set-Valued Anal. Optim. 5 (2023), 285-289.