Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an Application

The purpose of this paper is to define a rational orbitally (Θ,δb)-contraction and prove some new results in the context of b-metric spaces. Our results extend, generalize, and unify some known results in the literature. As application of our main result, we investigate the solution of Fredholm inte...

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Main Authors: Zhenhua Ma, Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei, Durdana Lateef
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9946125
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author Zhenhua Ma
Jamshaid Ahmad
Abdullah Eqal Al-Mazrooei
Durdana Lateef
author_facet Zhenhua Ma
Jamshaid Ahmad
Abdullah Eqal Al-Mazrooei
Durdana Lateef
author_sort Zhenhua Ma
collection DOAJ
description The purpose of this paper is to define a rational orbitally (Θ,δb)-contraction and prove some new results in the context of b-metric spaces. Our results extend, generalize, and unify some known results in the literature. As application of our main result, we investigate the solution of Fredholm integral inclusion. We also provide an example to substantiate the advantage and usefulness of obtained results.
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-2176e2ca89ab442db8dcdbe0ea7772702025-02-03T07:24:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99461259946125Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an ApplicationZhenhua Ma0Jamshaid Ahmad1Abdullah Eqal Al-Mazrooei2Durdana Lateef3Department of Mathematics and Physics, Hebei University of Architecture, Zhangjiakou 075024, ChinaDepartment of Mathematics, University of Jeddah, Saudi ArabiaDepartment of Mathematics, University of Jeddah, Saudi ArabiaDepartment of Mathematics, College of Science, Taibah University, Al Madina Al Munawwara, Madina 41411, Saudi ArabiaThe purpose of this paper is to define a rational orbitally (Θ,δb)-contraction and prove some new results in the context of b-metric spaces. Our results extend, generalize, and unify some known results in the literature. As application of our main result, we investigate the solution of Fredholm integral inclusion. We also provide an example to substantiate the advantage and usefulness of obtained results.http://dx.doi.org/10.1155/2021/9946125
spellingShingle Zhenhua Ma
Jamshaid Ahmad
Abdullah Eqal Al-Mazrooei
Durdana Lateef
Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an Application
Journal of Function Spaces
title Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an Application
title_full Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an Application
title_fullStr Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an Application
title_full_unstemmed Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an Application
title_short Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an Application
title_sort fixed point results for rational orbitally θ δb contractions with an application
url http://dx.doi.org/10.1155/2021/9946125
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AT jamshaidahmad fixedpointresultsforrationalorbitallythdbcontractionswithanapplication
AT abdullaheqalalmazrooei fixedpointresultsforrationalorbitallythdbcontractionswithanapplication
AT durdanalateef fixedpointresultsforrationalorbitallythdbcontractionswithanapplication