Stable Convergence Theorems for Products of Uniformly Continuous Mappings in Metric Spaces

Zaslavski, Alexander J.

doi:10.3390/axioms10030156

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Article

19 July 2021

12 Pages

Stable Convergence Theorems for Products of Uniformly Continuous Mappings in Metric Spaces

Department of Mathematics, The Technion—Israel Institute of Technology, Haifa 32000, Israel

Axioms2021, 10(3), 156;https://doi.org/10.3390/axioms10030156

This article belongs to the Special Issue Fixed Point Theory and Its Related Topics III

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Abstract

We study the behavior of inexact products of uniformly continuous self-mappings of a complete metric space that is uniformly continuous and bounded on bounded sets. It is shown that previously established convergence theorems for products of non-expansive mappings continue to hold even under the presence of computational errors.

Keywords:

complete metric space; inexact product; infinite product; uniformly continuous mapping

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