A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces

The aim of this paper is to propose some fixed point theorems in complete parametric metric spaces. Using these theorems, we deduce as corollaries the recent results of Ionescu et al. Moreover, we suggest some new contractions and prove certain fixed point theorems in triangular intuitionistic fuzzy...

Full description

Saved in:
Bibliographic Details
Main Authors: N. Hussain, S. Khaleghizadeh, P. Salimi, Afrah A. N. Abdou
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/690139
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832562749275635712
author N. Hussain
S. Khaleghizadeh
P. Salimi
Afrah A. N. Abdou
author_facet N. Hussain
S. Khaleghizadeh
P. Salimi
Afrah A. N. Abdou
author_sort N. Hussain
collection DOAJ
description The aim of this paper is to propose some fixed point theorems in complete parametric metric spaces. Using these theorems, we deduce as corollaries the recent results of Ionescu et al. Moreover, we suggest some new contractions and prove certain fixed point theorems in triangular intuitionistic fuzzy metric spaces. We also discuss some illustrative examples to highlight the realized improvements.
format Article
id doaj-art-9319d140a04b4abebd42a4857b4d6cf8
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-9319d140a04b4abebd42a4857b4d6cf82025-02-03T01:21:52ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/690139690139A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric SpacesN. Hussain0S. Khaleghizadeh1P. Salimi2Afrah A. N. Abdou3Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, IranDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, IranDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe aim of this paper is to propose some fixed point theorems in complete parametric metric spaces. Using these theorems, we deduce as corollaries the recent results of Ionescu et al. Moreover, we suggest some new contractions and prove certain fixed point theorems in triangular intuitionistic fuzzy metric spaces. We also discuss some illustrative examples to highlight the realized improvements.http://dx.doi.org/10.1155/2014/690139
spellingShingle N. Hussain
S. Khaleghizadeh
P. Salimi
Afrah A. N. Abdou
A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces
Abstract and Applied Analysis
title A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces
title_full A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces
title_fullStr A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces
title_full_unstemmed A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces
title_short A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces
title_sort new approach to fixed point results in triangular intuitionistic fuzzy metric spaces
url http://dx.doi.org/10.1155/2014/690139
work_keys_str_mv AT nhussain anewapproachtofixedpointresultsintriangularintuitionisticfuzzymetricspaces
AT skhaleghizadeh anewapproachtofixedpointresultsintriangularintuitionisticfuzzymetricspaces
AT psalimi anewapproachtofixedpointresultsintriangularintuitionisticfuzzymetricspaces
AT afrahanabdou anewapproachtofixedpointresultsintriangularintuitionisticfuzzymetricspaces
AT nhussain newapproachtofixedpointresultsintriangularintuitionisticfuzzymetricspaces
AT skhaleghizadeh newapproachtofixedpointresultsintriangularintuitionisticfuzzymetricspaces
AT psalimi newapproachtofixedpointresultsintriangularintuitionisticfuzzymetricspaces
AT afrahanabdou newapproachtofixedpointresultsintriangularintuitionisticfuzzymetricspaces