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On convergence in fuzzy metric spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2009 English Publisher:Elsevier BVJournal:Topology and its Applications, volume 156, pages 3,002-3,006 (issn: 0166-8641, Copyright policy )
Authors: Gregori, Valentín; López-Crevillén, Andrés; Morillas, Samuel; Sapena, Almanzor;

doi: 10.1016/j.topol.2008.12.043

On convergence in fuzzy metric spaces

Abstract

The authors investigate some aspects relative to the concept of \(p\)-convergence and characterize those fuzzy metric spaces in which the family of \(p\)-convergent sequences agrees with the family of convergent sequences. Also a non-completable fuzzy metric space, which is not principal, is given.

Related Organizations
Keywords

Fuzzy topology, Cauchy sequence, Metric spaces, metrizability, (Stationary) fuzzy metric, fuzzy metric, p-convergent sequence, \(p\)-convergent, Complete metric spaces, Geometry and Topology

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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!
36
Top 10%
Top 10%
Average
hybrid