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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Format: | Article |
Language: | English |
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Wiley
2005-01-01
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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. |
format | Article |
id | doaj-art-0374f826d13f4d02b9d0b5a0e449fe24 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2005-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT bijendrasingh semicompatibilityandfixedpointtheoremsinfuzzymetricspaceusingimplicitrelation AT shishirjain semicompatibilityandfixedpointtheoremsinfuzzymetricspaceusingimplicitrelation |