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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Language: | English |
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University of Mohaghegh Ardabili
2012-06-01
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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. |
format | Article |
id | doaj-art-e5fa9c60e59b42d3af0de00b89b14be7 |
institution | Matheson Library |
issn | 2251-8436 2322-1666 |
language | English |
publishDate | 2012-06-01 |
publisher | University of Mohaghegh Ardabili |
record_format | Article |
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 |
work_keys_str_mv | AT tksamanta oncoincidenceandfixedpointtheoremsinfuzzysymmetricspaces AT bdinda oncoincidenceandfixedpointtheoremsinfuzzysymmetricspaces AT smohinta oncoincidenceandfixedpointtheoremsinfuzzysymmetricspaces AT sroy oncoincidenceandfixedpointtheoremsinfuzzysymmetricspaces AT jghosh oncoincidenceandfixedpointtheoremsinfuzzysymmetricspaces |