Some new fixed point results in non-Archimedean fuzzy metric spaces

In this paper, we introduce the notions of fuzzy (α, β, ϕ)-contractive mapping, fuzzy α-φ-ψ-contractive mapping and fuzzy α-β-contractive mapping and establish some results of fixed point for this class of mappings in the setting of non-Archimedean fuzzy metric spaces. The results presented in this...

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Main Authors: Peyman Salimi, Calogero Vetro, Pasquale Vetro
Format: Article
Language:English
Published: Vilnius University Press 2013-07-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/14014
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spelling doaj-c64daeb44a6947c28f0d15c5c69074062020-11-24T21:56:02ZengVilnius University PressNonlinear Analysis1392-51132335-89632013-07-01183Some new fixed point results in non-Archimedean fuzzy metric spacesPeyman Salimi0Calogero Vetro1Pasquale Vetro2Islamic Azad University, IranUniversità degli Studi di Palermo, ItalyUniversità degli Studi di Palermo, Italy In this paper, we introduce the notions of fuzzy (α, β, ϕ)-contractive mapping, fuzzy α-φ-ψ-contractive mapping and fuzzy α-β-contractive mapping and establish some results of fixed point for this class of mappings in the setting of non-Archimedean fuzzy metric spaces. The results presented in this paper generalize and extend some recent results in fuzzy metric spaces. Also, some examples are given to support the usability of our results. http://www.journals.vu.lt/nonlinear-analysis/article/view/14014fuzzy metric spacesnon-Archimedean fuzzy metric spacesfuzzy (α, β, ϕ)-contractive mappingsfuzzy α-φ-ψ-contractive mappingsfuzzy α-β-contractive mappings
collection DOAJ
language English
format Article
sources DOAJ
author Peyman Salimi
Calogero Vetro
Pasquale Vetro
spellingShingle Peyman Salimi
Calogero Vetro
Pasquale Vetro
Some new fixed point results in non-Archimedean fuzzy metric spaces
Nonlinear Analysis
fuzzy metric spaces
non-Archimedean fuzzy metric spaces
fuzzy (α, β, ϕ)-contractive mappings
fuzzy α-φ-ψ-contractive mappings
fuzzy α-β-contractive mappings
author_facet Peyman Salimi
Calogero Vetro
Pasquale Vetro
author_sort Peyman Salimi
title Some new fixed point results in non-Archimedean fuzzy metric spaces
title_short Some new fixed point results in non-Archimedean fuzzy metric spaces
title_full Some new fixed point results in non-Archimedean fuzzy metric spaces
title_fullStr Some new fixed point results in non-Archimedean fuzzy metric spaces
title_full_unstemmed Some new fixed point results in non-Archimedean fuzzy metric spaces
title_sort some new fixed point results in non-archimedean fuzzy metric spaces
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2013-07-01
description In this paper, we introduce the notions of fuzzy (α, β, ϕ)-contractive mapping, fuzzy α-φ-ψ-contractive mapping and fuzzy α-β-contractive mapping and establish some results of fixed point for this class of mappings in the setting of non-Archimedean fuzzy metric spaces. The results presented in this paper generalize and extend some recent results in fuzzy metric spaces. Also, some examples are given to support the usability of our results.
topic fuzzy metric spaces
non-Archimedean fuzzy metric spaces
fuzzy (α, β, ϕ)-contractive mappings
fuzzy α-φ-ψ-contractive mappings
fuzzy α-β-contractive mappings
url http://www.journals.vu.lt/nonlinear-analysis/article/view/14014
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AT calogerovetro somenewfixedpointresultsinnonarchimedeanfuzzymetricspaces
AT pasqualevetro somenewfixedpointresultsinnonarchimedeanfuzzymetricspaces
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