Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces

Proving fixed point theorem in a fuzzy metric space is not possible for Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space. This new space allows us to prove some fixed point theorems for Meir-Keeler contractive mapping. As some pattern we in...

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Main Author:	Masoomeh Hezarjaribi
Format:	Article
Language:	English
Published:	University of Maragheh 2018-08-01
Series:	Sahand Communications in Mathematical Analysis
Subjects:	$c_0$-triangular fuzzy metric space $alphaDelta$-Meir-Keeler contractive Fixed point
Online Access:	http://scma.maragheh.ac.ir/article_31436_7931223a921acacbf9af5f50b37f2216.pdf

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spelling	doaj-418f4f2e430a47e5832f7d04644291562020-11-24T23:07:52ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002018-08-01111254110.22130/scma.2018.60715.21531436Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric SpacesMasoomeh Hezarjaribi0Department of Mathematics, Payame Noor University, p.o.box.19395-3697, Tehran, Iran.Proving fixed point theorem in a fuzzy metric space is not possible for Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space. This new space allows us to prove some fixed point theorems for Meir-Keeler contractive mapping. As some pattern we introduce the class of $alphaDelta$-Meir-Keeler contractive and we establish some results of fixed point for such a mapping in the setting of $c_0$-triangular fuzzy metric space. An example is furnished to demonstrate the validity of these obtained results.http://scma.maragheh.ac.ir/article_31436_7931223a921acacbf9af5f50b37f2216.pdf$c_0$-triangular fuzzy metric space$alphaDelta$-Meir-Keeler contractiveFixed point
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Masoomeh Hezarjaribi
spellingShingle	Masoomeh Hezarjaribi Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces Sahand Communications in Mathematical Analysis $c_0$-triangular fuzzy metric space $alphaDelta$-Meir-Keeler contractive Fixed point
author_facet	Masoomeh Hezarjaribi
author_sort	Masoomeh Hezarjaribi
title	Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces
title_short	Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces
title_full	Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces
title_fullStr	Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces
title_full_unstemmed	Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces
title_sort	meir-keeler type contraction mappings in $c_0$-triangular fuzzy metric spaces
publisher	University of Maragheh
series	Sahand Communications in Mathematical Analysis
issn	2322-5807 2423-3900
publishDate	2018-08-01
description	Proving fixed point theorem in a fuzzy metric space is not possible for Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space. This new space allows us to prove some fixed point theorems for Meir-Keeler contractive mapping. As some pattern we introduce the class of $alphaDelta$-Meir-Keeler contractive and we establish some results of fixed point for such a mapping in the setting of $c_0$-triangular fuzzy metric space. An example is furnished to demonstrate the validity of these obtained results.
topic	$c_0$-triangular fuzzy metric space $alphaDelta$-Meir-Keeler contractive Fixed point
url	http://scma.maragheh.ac.ir/article_31436_7931223a921acacbf9af5f50b37f2216.pdf
work_keys_str_mv	AT masoomehhezarjaribi meirkeelertypecontractionmappingsinc0triangularfuzzymetricspaces
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Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces

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