On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces

We essentially suggest the concept of mutual sequences and Cauchy mutual sequence and utilize the same to prove the existence and uniqueness of common fixed point results for finite number of self- and non-self-mappings using fuzzy ℤ∗-contractive mappings in fuzzy metric spaces. Our main result was...

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Main Authors: Ayush Bartwal, Junaid Ahmad, R. C. Dimri, Gopi Prasad, Ebenezer Bonyah
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2022/1550332
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author Ayush Bartwal
Junaid Ahmad
R. C. Dimri
Gopi Prasad
Ebenezer Bonyah
author_facet Ayush Bartwal
Junaid Ahmad
R. C. Dimri
Gopi Prasad
Ebenezer Bonyah
author_sort Ayush Bartwal
collection DOAJ
description We essentially suggest the concept of mutual sequences and Cauchy mutual sequence and utilize the same to prove the existence and uniqueness of common fixed point results for finite number of self- and non-self-mappings using fuzzy ℤ∗-contractive mappings in fuzzy metric spaces. Our main result was obtained under generalized contractive condition in the fuzzy metric spaces. We provide examples to vindicate the claims and usefulness of such investigations. In this way, the present results generalize and enrich the several existing literature of the fuzzy metric spaces.
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institution Kabale University
issn 1687-9139
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-5d94d37d88d04a3481509716a56ab2fb2025-02-03T06:11:51ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/1550332On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric SpacesAyush Bartwal0Junaid Ahmad1R. C. Dimri2Gopi Prasad3Ebenezer Bonyah4Department of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics EducationWe essentially suggest the concept of mutual sequences and Cauchy mutual sequence and utilize the same to prove the existence and uniqueness of common fixed point results for finite number of self- and non-self-mappings using fuzzy ℤ∗-contractive mappings in fuzzy metric spaces. Our main result was obtained under generalized contractive condition in the fuzzy metric spaces. We provide examples to vindicate the claims and usefulness of such investigations. In this way, the present results generalize and enrich the several existing literature of the fuzzy metric spaces.http://dx.doi.org/10.1155/2022/1550332
spellingShingle Ayush Bartwal
Junaid Ahmad
R. C. Dimri
Gopi Prasad
Ebenezer Bonyah
On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces
Advances in Mathematical Physics
title On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces
title_full On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces
title_fullStr On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces
title_full_unstemmed On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces
title_short On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces
title_sort on some new common fixed point results for finite number of mappings in fuzzy metric spaces
url http://dx.doi.org/10.1155/2022/1550332
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AT rcdimri onsomenewcommonfixedpointresultsforfinitenumberofmappingsinfuzzymetricspaces
AT gopiprasad onsomenewcommonfixedpointresultsforfinitenumberofmappingsinfuzzymetricspaces
AT ebenezerbonyah onsomenewcommonfixedpointresultsforfinitenumberofmappingsinfuzzymetricspaces