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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 19 Jul 2021 English Publisher:MDPI AGJournal:Axioms, volume 10, page 156 (eissn: 2075-1680, Copyright policy )
Authors: Zaslavski, Alexander J.;

doi: 10.3390/axioms10030156

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

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.

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Keywords

complete metric space, inexact product, infinite product, QA1-939, uniformly continuous mapping, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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