Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space

We obtain some fixed point theorems for JH-operators and occasionally weakly g-biased maps on a set X together with the function F:X×X→Δ without using the triangle inequality and without using the symmetric condition. Our results extend the results of Bhatt et al. (2010).

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Main Authors: Arvind Bhatt, Harish Chandra
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/846315
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author Arvind Bhatt
Harish Chandra
author_facet Arvind Bhatt
Harish Chandra
author_sort Arvind Bhatt
collection DOAJ
description We obtain some fixed point theorems for JH-operators and occasionally weakly g-biased maps on a set X together with the function F:X×X→Δ without using the triangle inequality and without using the symmetric condition. Our results extend the results of Bhatt et al. (2010).
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institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-a591a580780d4531af1b3b4fc0a4fa632025-08-20T03:38:31ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/846315846315Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric SpaceArvind Bhatt0Harish Chandra1Department of Applied Science (Mathematics), Bipin Tripathi Kumaun Institute of Technology Dwarahat (Almora), Uttarakhand Technical University, Dehradun, Uttarakhand 263653, IndiaDepartment of Mathematics and DST-CIMS, Banaras Hindu University, Varanasi 221005, IndiaWe obtain some fixed point theorems for JH-operators and occasionally weakly g-biased maps on a set X together with the function F:X×X→Δ without using the triangle inequality and without using the symmetric condition. Our results extend the results of Bhatt et al. (2010).http://dx.doi.org/10.1155/2013/846315
spellingShingle Arvind Bhatt
Harish Chandra
Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space
Journal of Function Spaces and Applications
title Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space
title_full Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space
title_fullStr Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space
title_full_unstemmed Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space
title_short Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space
title_sort common fixed points for jh operators and occasionally weakly g biased pairs under relaxed condition on probabilistic metric space
url http://dx.doi.org/10.1155/2013/846315
work_keys_str_mv AT arvindbhatt commonfixedpointsforjhoperatorsandoccasionallyweaklygbiasedpairsunderrelaxedconditiononprobabilisticmetricspace
AT harishchandra commonfixedpointsforjhoperatorsandoccasionallyweaklygbiasedpairsunderrelaxedconditiononprobabilisticmetricspace