n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application

We will introduce the concept of n-tupled fixed points (for positive integer n) in fuzzy metric space by mild modification of the concept of n-tupled fixed points (for even positive interger n) introduced by Imdad et al. (2013) in metric spaces. As application of the above-mentioned concept, we will...

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Main Authors: P. P. Murthy, Rashmi Kenvat
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2015/285149
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author P. P. Murthy
Rashmi Kenvat
author_facet P. P. Murthy
Rashmi Kenvat
author_sort P. P. Murthy
collection DOAJ
description We will introduce the concept of n-tupled fixed points (for positive integer n) in fuzzy metric space by mild modification of the concept of n-tupled fixed points (for even positive interger n) introduced by Imdad et al. (2013) in metric spaces. As application of the above-mentioned concept, we will establish some n-tupled fixed point theorems for contractive type mappings in fuzzy metric space which extends the result of Roldán et al. (2013). Also we have given an application to solve a kind of Lipschitzian systems for n variables and an integral system.
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spelling doaj-art-8ee4e06023fa4dd689014a2a63c4e0a22025-08-20T03:37:16ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2015-01-01201510.1155/2015/285149285149n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with ApplicationP. P. Murthy0Rashmi Kenvat1Department of Pure and Applied Mathematics, Guru Ghasidas Vishwavidyalaya (A Central University), Koni, Bilaspur, Chhattisgarh 495 009, IndiaDepartment of Pure and Applied Mathematics, Guru Ghasidas Vishwavidyalaya (A Central University), Koni, Bilaspur, Chhattisgarh 495 009, IndiaWe will introduce the concept of n-tupled fixed points (for positive integer n) in fuzzy metric space by mild modification of the concept of n-tupled fixed points (for even positive interger n) introduced by Imdad et al. (2013) in metric spaces. As application of the above-mentioned concept, we will establish some n-tupled fixed point theorems for contractive type mappings in fuzzy metric space which extends the result of Roldán et al. (2013). Also we have given an application to solve a kind of Lipschitzian systems for n variables and an integral system.http://dx.doi.org/10.1155/2015/285149
spellingShingle P. P. Murthy
Rashmi Kenvat
n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application
Advances in Fuzzy Systems
title n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application
title_full n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application
title_fullStr n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application
title_full_unstemmed n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application
title_short n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application
title_sort n tupled fixed points theorem in fuzzy metric spaces with application
url http://dx.doi.org/10.1155/2015/285149
work_keys_str_mv AT ppmurthy ntupledfixedpointstheoreminfuzzymetricspaceswithapplication
AT rashmikenvat ntupledfixedpointstheoreminfuzzymetricspaceswithapplication