A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations

In this paper, we introduce a new coupled fixed point theorem in a generalized metric space and utilize the same to study the stability for a system of set-valued functional equations.

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Bibliographic Details
Main Authors: Ahmed H. Soliman, A. M. Zidan
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/4146328
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author Ahmed H. Soliman
A. M. Zidan
author_facet Ahmed H. Soliman
A. M. Zidan
author_sort Ahmed H. Soliman
collection DOAJ
description In this paper, we introduce a new coupled fixed point theorem in a generalized metric space and utilize the same to study the stability for a system of set-valued functional equations.
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publishDate 2019-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-37bc42f015fc4bfeb9feb83a05e8b2f82025-08-20T02:07:59ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/41463284146328A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional EquationsAhmed H. Soliman0A. M. Zidan1King Khalid University, College of Science, Department of Mathematics, P.O. Box: 9004, Abha 61413, Saudi ArabiaKing Khalid University, College of Science, Department of Mathematics, P.O. Box: 9004, Abha 61413, Saudi ArabiaIn this paper, we introduce a new coupled fixed point theorem in a generalized metric space and utilize the same to study the stability for a system of set-valued functional equations.http://dx.doi.org/10.1155/2019/4146328
spellingShingle Ahmed H. Soliman
A. M. Zidan
A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations
Journal of Function Spaces
title A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations
title_full A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations
title_fullStr A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations
title_full_unstemmed A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations
title_short A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations
title_sort new coupled fixed point result in extended metric spaces with an application to study the stability of set valued functional equations
url http://dx.doi.org/10.1155/2019/4146328
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AT ahmedhsoliman newcoupledfixedpointresultinextendedmetricspaceswithanapplicationtostudythestabilityofsetvaluedfunctionalequations
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