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DOI: 10.23952/cot.2022.12
Received July 11, 2022; Accepted August 17, 2022; Published September 9, 2022
Abstract. In this paper, we generalize a recent convergence result of Tam (2018) which was proved for iterates of a set-valued operator such that its values can be expressed as a finite union of values of single-valued paracontracting operators. It is shown that this convergence result is true for a general set-valued mapping such that its values are not necessarily finite unions of values of single-valued operators.
How to Cite this Article:
A.J. Zaslavski, An algorithm based on a set-valued nonexpansive mapping, Commun. Optim. Theory 2022 (2022) 12.