std-Convergence in fuzzy metric spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2015 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 267, pages 140-143 (issn: 0165-0114,

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Authors: Valentín Gregori; Juan-José Miñana;

doi: 10.1016/j.fss.2014.05.007

std-Convergence in fuzzy metric spaces

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Abstract

In this note we answer two recent questions posed by Morillas and Sapena [10] related to standard convergence in fuzzy metric spaces in the sense of George and Veeramani. The obtained results lead us to establish what conditions must satisfy a concept about sequential convergence to be considered compatible with a concept of Cauchyness.

Juan Jose Minana acknowledges the support of Conselleria de Educacion, Formacion y Empleo (Programa Vali+d para investigadores en formacion) of Generalitat Valenciana, Spain, ACIF/2012/040, and the support of Universitat Politecnica de Valencia under Grant PAID-06-12 SP20120471.

Related Organizations

Universitat Politècnica de València
Spain

Keywords

Fuzzy metric space, (std-) Cauchy sequence, (std-) Convergent sequence, MATEMATICA APLICADA

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