Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words

In this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi-metric spaces, and non-Archimedean fuzzy strong controlled quasi-metric spaces and generalize the famous Banach contraction principle. We prove several fixed point results in the cont...

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Main Authors: Aftab Hussain, Umar Ishtiaq, Hamed Al Sulami
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2023/4350504
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author Aftab Hussain
Umar Ishtiaq
Hamed Al Sulami
author_facet Aftab Hussain
Umar Ishtiaq
Hamed Al Sulami
author_sort Aftab Hussain
collection DOAJ
description In this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi-metric spaces, and non-Archimedean fuzzy strong controlled quasi-metric spaces and generalize the famous Banach contraction principle. We prove several fixed point results in the context of non-Archimedean fuzzy strong controlled quasi-metric space. Furthermore, we use our main result to obtain the existence of a solution for a recurrence problem linked with the study of Quicksort algorithms.
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institution Kabale University
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publishDate 2023-01-01
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spelling doaj-art-b93e4c9c2ee8499482c691b75e23c90f2025-02-03T05:48:42ZengWileyAdvances in Mathematical Physics1687-91392023-01-01202310.1155/2023/4350504Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain WordsAftab Hussain0Umar Ishtiaq1Hamed Al Sulami2Department of MathematicsOffice of ResearchDepartment of MathematicsIn this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi-metric spaces, and non-Archimedean fuzzy strong controlled quasi-metric spaces and generalize the famous Banach contraction principle. We prove several fixed point results in the context of non-Archimedean fuzzy strong controlled quasi-metric space. Furthermore, we use our main result to obtain the existence of a solution for a recurrence problem linked with the study of Quicksort algorithms.http://dx.doi.org/10.1155/2023/4350504
spellingShingle Aftab Hussain
Umar Ishtiaq
Hamed Al Sulami
Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words
Advances in Mathematical Physics
title Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words
title_full Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words
title_fullStr Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words
title_full_unstemmed Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words
title_short Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words
title_sort fixed point results in fuzzy strong controlled metric spaces with an application to the domain words
url http://dx.doi.org/10.1155/2023/4350504
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AT umarishtiaq fixedpointresultsinfuzzystrongcontrolledmetricspaceswithanapplicationtothedomainwords
AT hamedalsulami fixedpointresultsinfuzzystrongcontrolledmetricspaceswithanapplicationtothedomainwords