Discussion on Geraghty Type Hybrid Contractions

In this manuscript, we define the notion of Geraghty type hybrid contractions in the setting of b-metric spaces. We prove the existence of a fixed point for such mappings whenever b-metric space is complete. Our observed results not only unify several existing results but also extend some known resu...

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Main Authors: Sara Salem Alzaid, Andreea Fulga, Fehaid Salem Alshammari
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/6614291
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author Sara Salem Alzaid
Andreea Fulga
Fehaid Salem Alshammari
author_facet Sara Salem Alzaid
Andreea Fulga
Fehaid Salem Alshammari
author_sort Sara Salem Alzaid
collection DOAJ
description In this manuscript, we define the notion of Geraghty type hybrid contractions in the setting of b-metric spaces. We prove the existence of a fixed point for such mappings whenever b-metric space is complete. Our observed results not only unify several existing results but also extend some known results.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-b8705cd918684f10b4b49eadf75ba80b2025-02-03T01:25:46ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/66142916614291Discussion on Geraghty Type Hybrid ContractionsSara Salem Alzaid0Andreea Fulga1Fehaid Salem Alshammari2Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics and Computer Science, Transilvania University of Brasov, Brasov 500036, RomaniaDepartment of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 13318, Saudi ArabiaIn this manuscript, we define the notion of Geraghty type hybrid contractions in the setting of b-metric spaces. We prove the existence of a fixed point for such mappings whenever b-metric space is complete. Our observed results not only unify several existing results but also extend some known results.http://dx.doi.org/10.1155/2020/6614291
spellingShingle Sara Salem Alzaid
Andreea Fulga
Fehaid Salem Alshammari
Discussion on Geraghty Type Hybrid Contractions
Journal of Function Spaces
title Discussion on Geraghty Type Hybrid Contractions
title_full Discussion on Geraghty Type Hybrid Contractions
title_fullStr Discussion on Geraghty Type Hybrid Contractions
title_full_unstemmed Discussion on Geraghty Type Hybrid Contractions
title_short Discussion on Geraghty Type Hybrid Contractions
title_sort discussion on geraghty type hybrid contractions
url http://dx.doi.org/10.1155/2020/6614291
work_keys_str_mv AT sarasalemalzaid discussionongeraghtytypehybridcontractions
AT andreeafulga discussionongeraghtytypehybridcontractions
AT fehaidsalemalshammari discussionongeraghtytypehybridcontractions