Stable convergence theorems for infinite products of nonlinear mappings

Zaslavski A.J.

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Published: Oct 17, 2023

Keywords:

Complete metric space; Fixed point; Infinite product; Uniformly continuous mapping

Zaslavski A.J.

Abstract

We analyze the asymptotic behavior of inexact infinite products of uniformly continuous self-mappings of a complete metric space. It is shown that previously established convergence theorems for infinite products of nonexpansive mappings and for powers of uniformly continuous continue to hold even when computational errors are present.

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Vol. 24 No. 1 (2021)

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