On fuzzy ψ -contractive sequences and fixed point theorems

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2016 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 300, pages 93-101 (issn: 0165-0114,

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Authors: Valentín Gregori; Juan-José Miñana;

doi: 10.1016/j.fss.2015.12.010

On fuzzy ψ -contractive sequences and fixed point theorems

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Abstract

In this paper we give a fixed point theorem in the context of fuzzy metric spaces in the sense of George and Veeramani. As a consequence of our result we obtain a fixed point theorem due to D. Mihet and generalize a fixed point theorem due to D. Wardowski. Also, we answer in a positive way to a question posed by D. Wardowski, and solve partially an open question on Cauchyness and contractivity. (C) 2015 Elsevier B.V. All rights reserved.

Juan Jose Minana acknowledges the support of Conselleria de Educacion, Formacion y Empleo of Generalitat Valenciana, Spain, by Programa Vali+d para investigadores en formacion under Grant ACIF/2012/040.

Related Organizations

Universitat Politècnica de València
Spain

Keywords

Fuzzy topology, Fixed-point and coincidence theorems (topological aspects), Fuzzy metric space, Fixed point, fuzzy contractive mapping, fixed point, Metric spaces, metrizability, fuzzy metric space, Fuzzy contractive mapping, MATEMATICA APLICADA

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