Convergence of inexact iterates of an algorithm based on unions of nonexpansive mappings
Applied Set-Valued Analysis and Optimization · 2023
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.