On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application

The aim of this paper is to define fuzzy contraction in the context of complex valued extended b-metric space and prove fuzzy fixed-point results. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements....

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Main Authors: Amnah Essa Shammaky, Jamshaid Ahmad, Abdelhamied Farrag Sayed
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/9995897
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author Amnah Essa Shammaky
Jamshaid Ahmad
Abdelhamied Farrag Sayed
author_facet Amnah Essa Shammaky
Jamshaid Ahmad
Abdelhamied Farrag Sayed
author_sort Amnah Essa Shammaky
collection DOAJ
description The aim of this paper is to define fuzzy contraction in the context of complex valued extended b-metric space and prove fuzzy fixed-point results. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements. As application, we derive fixed-point results for multivalued mappings in the setting of complex valued extended b-metric space.
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institution DOAJ
issn 2314-4629
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publishDate 2021-01-01
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series Journal of Mathematics
spelling doaj-art-400cc4f3adf54188b19bb400e1abf72a2025-08-20T02:39:15ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99958979995897On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with ApplicationAmnah Essa Shammaky0Jamshaid Ahmad1Abdelhamied Farrag Sayed2Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi ArabiaDepartment of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi ArabiaMathematics Department, Al-Lith University College, Umm Al-Qura University, P.O. Box 112, Al-Lith, Makkah Al-Mukarramah 21961, Saudi ArabiaThe aim of this paper is to define fuzzy contraction in the context of complex valued extended b-metric space and prove fuzzy fixed-point results. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements. As application, we derive fixed-point results for multivalued mappings in the setting of complex valued extended b-metric space.http://dx.doi.org/10.1155/2021/9995897
spellingShingle Amnah Essa Shammaky
Jamshaid Ahmad
Abdelhamied Farrag Sayed
On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application
Journal of Mathematics
title On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application
title_full On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application
title_fullStr On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application
title_full_unstemmed On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application
title_short On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application
title_sort on fuzzy fixed point results in complex valued extended b metric spaces with application
url http://dx.doi.org/10.1155/2021/9995897
work_keys_str_mv AT amnahessashammaky onfuzzyfixedpointresultsincomplexvaluedextendedbmetricspaceswithapplication
AT jamshaidahmad onfuzzyfixedpointresultsincomplexvaluedextendedbmetricspaceswithapplication
AT abdelhamiedfarragsayed onfuzzyfixedpointresultsincomplexvaluedextendedbmetricspaceswithapplication