Contractive mappings and common fixed point theorems in intuitionistic fuzzy metric spaces

This paper deals with some issues of common fixed point theory involving two different types of intuitionistic fuzzy contractive mappings. Intuitionistic fuzzy Jungck’s common fixed point theorem (see, [1]) with respect to contraction defined in [8] and intuitionistic fuzzy Pant’s common fixed point...

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Main Authors: B. Dinda, T. K. Samanta
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2012-06-01
Series:Journal of Hyperstructures
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Online Access:https://jhs.uma.ac.ir/article_2540_ea405c005c08b585f95fda158e5e1014.pdf
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author B. Dinda
T. K. Samanta
author_facet B. Dinda
T. K. Samanta
author_sort B. Dinda
collection DOAJ
description This paper deals with some issues of common fixed point theory involving two different types of intuitionistic fuzzy contractive mappings. Intuitionistic fuzzy Jungck’s common fixed point theorem (see, [1]) with respect to contraction defined in [8] and intuitionistic fuzzy Pant’s common fixed point theorem (see, [2]) for ψ-φ weakly commuting mappings are proved.
format Article
id doaj-art-46f6ded13f2c400d8e06eeaf014109f8
institution DOAJ
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language English
publishDate 2012-06-01
publisher University of Mohaghegh Ardabili
record_format Article
series Journal of Hyperstructures
spelling doaj-art-46f6ded13f2c400d8e06eeaf014109f82025-08-20T02:40:15ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662012-06-0111526210.22098/jhs.2012.25402540Contractive mappings and common fixed point theorems in intuitionistic fuzzy metric spacesB. Dinda0T. K. Samanta1Department of Mathematics, Mahishamuri Ramkrishna Vidyapith, Howrah-711401, West Bengal, India.Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, West Bengal, India.This paper deals with some issues of common fixed point theory involving two different types of intuitionistic fuzzy contractive mappings. Intuitionistic fuzzy Jungck’s common fixed point theorem (see, [1]) with respect to contraction defined in [8] and intuitionistic fuzzy Pant’s common fixed point theorem (see, [2]) for ψ-φ weakly commuting mappings are proved.https://jhs.uma.ac.ir/article_2540_ea405c005c08b585f95fda158e5e1014.pdfintuitionistic fuzzy metric spacecontractive mappingscommutative mappingsweakly commuting mappingscommon fixed point
spellingShingle B. Dinda
T. K. Samanta
Contractive mappings and common fixed point theorems in intuitionistic fuzzy metric spaces
Journal of Hyperstructures
intuitionistic fuzzy metric space
contractive mappings
commutative mappings
weakly commuting mappings
common fixed point
title Contractive mappings and common fixed point theorems in intuitionistic fuzzy metric spaces
title_full Contractive mappings and common fixed point theorems in intuitionistic fuzzy metric spaces
title_fullStr Contractive mappings and common fixed point theorems in intuitionistic fuzzy metric spaces
title_full_unstemmed Contractive mappings and common fixed point theorems in intuitionistic fuzzy metric spaces
title_short Contractive mappings and common fixed point theorems in intuitionistic fuzzy metric spaces
title_sort contractive mappings and common fixed point theorems in intuitionistic fuzzy metric spaces
topic intuitionistic fuzzy metric space
contractive mappings
commutative mappings
weakly commuting mappings
common fixed point
url https://jhs.uma.ac.ir/article_2540_ea405c005c08b585f95fda158e5e1014.pdf
work_keys_str_mv AT bdinda contractivemappingsandcommonfixedpointtheoremsinintuitionisticfuzzymetricspaces
AT tksamanta contractivemappingsandcommonfixedpointtheoremsinintuitionisticfuzzymetricspaces