On coincidence and fixed-point theorems in fuzzy symmetric spaces

In this paper, common fixed point theorems have been studied in fuzzy symmetric space instead of fuzzy metric space.Using weakly compatibility, property ( E.A.), we have generalized the common fixed point theorems for a pair of weakly compatible self mappings, for four self mappings in fuzzy symmetr...

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Main Authors: T. K. Samanta, B. Dinda, S. Mohinta, S. Roy, J. Ghosh
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_2542_9383690e6a59a9ad297fc22b53d0e091.pdf
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author T. K. Samanta
B. Dinda
S. Mohinta
S. Roy
J. Ghosh
author_facet T. K. Samanta
B. Dinda
S. Mohinta
S. Roy
J. Ghosh
author_sort T. K. Samanta
collection DOAJ
description In this paper, common fixed point theorems have been studied in fuzzy symmetric space instead of fuzzy metric space.Using weakly compatibility, property ( E.A.), we have generalized the common fixed point theorems for a pair of weakly compatible self mappings, for four self mappings in fuzzy symmetric space. Also we have established the unique common fixed point for four self mappings in this space.
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publishDate 2012-06-01
publisher University of Mohaghegh Ardabili
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series Journal of Hyperstructures
spelling doaj-art-e5fa9c60e59b42d3af0de00b89b14be72025-07-09T08:23:03ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662012-06-0111749110.22098/jhs.2012.25422542On coincidence and fixed-point theorems in fuzzy symmetric spacesT. K. Samanta0B. Dinda1S. Mohinta2S. Roy3J. Ghosh4Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, West Bengal, IndiaDepartment of Mathematics, Mahishamuri Ramkrishna Vidyapith, Howrah-711401, West Bengal, India.Department of Mathematics, Uluberia College, Uluberia, Howrah-711315, West Bengal, IndiaDepartment of Mathematics, South Bantra Ramkrishna Institution, Howrah, 711101, West Bengal, India.Department of Mathematics, Manickpur Adarsha Vidyapith, Howrah, 711309, West Bengal, IndiaIn this paper, common fixed point theorems have been studied in fuzzy symmetric space instead of fuzzy metric space.Using weakly compatibility, property ( E.A.), we have generalized the common fixed point theorems for a pair of weakly compatible self mappings, for four self mappings in fuzzy symmetric space. Also we have established the unique common fixed point for four self mappings in this space.https://jhs.uma.ac.ir/article_2542_9383690e6a59a9ad297fc22b53d0e091.pdffuzzy symmetric spacesproperty (e.a.)weakly compatible mappingsoccasionally weakly compatible mapscontractive modulus functioncommon fixed point theorem
spellingShingle T. K. Samanta
B. Dinda
S. Mohinta
S. Roy
J. Ghosh
On coincidence and fixed-point theorems in fuzzy symmetric spaces
Journal of Hyperstructures
fuzzy symmetric spaces
property (e.a.)
weakly compatible mappings
occasionally weakly compatible maps
contractive modulus function
common fixed point theorem
title On coincidence and fixed-point theorems in fuzzy symmetric spaces
title_full On coincidence and fixed-point theorems in fuzzy symmetric spaces
title_fullStr On coincidence and fixed-point theorems in fuzzy symmetric spaces
title_full_unstemmed On coincidence and fixed-point theorems in fuzzy symmetric spaces
title_short On coincidence and fixed-point theorems in fuzzy symmetric spaces
title_sort on coincidence and fixed point theorems in fuzzy symmetric spaces
topic fuzzy symmetric spaces
property (e.a.)
weakly compatible mappings
occasionally weakly compatible maps
contractive modulus function
common fixed point theorem
url https://jhs.uma.ac.ir/article_2542_9383690e6a59a9ad297fc22b53d0e091.pdf
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