Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation

The concept of semicompatibility has been introduced in fuzzy metric space and it has been applied to prove results on existence of unique common fixed point of four self-maps satisfying an implicit relation. Recently, Popa (2002) has employed a similar but not the same implicit relation to obtain...

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Main Authors: Bijendra Singh, Shishir Jain
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.2617
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author Bijendra Singh
Shishir Jain
author_facet Bijendra Singh
Shishir Jain
author_sort Bijendra Singh
collection DOAJ
description The concept of semicompatibility has been introduced in fuzzy metric space and it has been applied to prove results on existence of unique common fixed point of four self-maps satisfying an implicit relation. Recently, Popa (2002) has employed a similar but not the same implicit relation to obtain a fixed point theorem for d-complete topological spaces. All the results of this paper are new.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2005-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-0374f826d13f4d02b9d0b5a0e449fe242025-02-03T06:07:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005162617262910.1155/IJMMS.2005.2617Semicompatibility and fixed point theorems in fuzzy metric space using implicit relationBijendra Singh0Shishir Jain1School of Studies in Mathematics, Vikram University, University Road Ujjain, Madhya Pradesh 456010, IndiaShri Vaishnav Institute of Technology and Science, Indore, Madhya Pradesh 453331, IndiaThe concept of semicompatibility has been introduced in fuzzy metric space and it has been applied to prove results on existence of unique common fixed point of four self-maps satisfying an implicit relation. Recently, Popa (2002) has employed a similar but not the same implicit relation to obtain a fixed point theorem for d-complete topological spaces. All the results of this paper are new.http://dx.doi.org/10.1155/IJMMS.2005.2617
spellingShingle Bijendra Singh
Shishir Jain
Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation
International Journal of Mathematics and Mathematical Sciences
title Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation
title_full Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation
title_fullStr Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation
title_full_unstemmed Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation
title_short Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation
title_sort semicompatibility and fixed point theorems in fuzzy metric space using implicit relation
url http://dx.doi.org/10.1155/IJMMS.2005.2617
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AT shishirjain semicompatibilityandfixedpointtheoremsinfuzzymetricspaceusingimplicitrelation