Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application

Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application

The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Final...

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Main Authors: Khalil Javed, Fahim Uddin, Hassen Aydi, Aiman Mukheimer, Muhammad Arshad
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6663707
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spelling doaj-ec2e7bbdbf1349dfb70c3c35be3f2fed2021-02-22T00:01:21ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/6663707Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an ApplicationKhalil Javed0Fahim Uddin1Hassen Aydi2Aiman Mukheimer3Muhammad Arshad4Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsUniversité de SousseDepartment of Mathematics and General SciencesDepartment of Mathematics and StatisticsThe aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the first kind of a Fredholm-type integral equation.http://dx.doi.org/10.1155/2021/6663707
collection DOAJ
language English
format Article
sources DOAJ
author Khalil Javed
Fahim Uddin
Hassen Aydi
Aiman Mukheimer
Muhammad Arshad
spellingShingle Khalil Javed
Fahim Uddin
Hassen Aydi
Aiman Mukheimer
Muhammad Arshad
Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application
Journal of Mathematics
author_facet Khalil Javed
Fahim Uddin
Hassen Aydi
Aiman Mukheimer
Muhammad Arshad
author_sort Khalil Javed
title Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application
title_short Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application
title_full Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application
title_fullStr Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application
title_full_unstemmed Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application
title_sort ordered-theoretic fixed point results in fuzzy b-metric spaces with an application
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the first kind of a Fredholm-type integral equation.
url http://dx.doi.org/10.1155/2021/6663707
work_keys_str_mv AT khaliljaved orderedtheoreticfixedpointresultsinfuzzybmetricspaceswithanapplication
AT fahimuddin orderedtheoreticfixedpointresultsinfuzzybmetricspaceswithanapplication
AT hassenaydi orderedtheoreticfixedpointresultsinfuzzybmetricspaceswithanapplication
AT aimanmukheimer orderedtheoreticfixedpointresultsinfuzzybmetricspaceswithanapplication
AT muhammadarshad orderedtheoreticfixedpointresultsinfuzzybmetricspaceswithanapplication
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