θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces

In this paper, we present some fixed point results for generalized θ‐ϕ‐contraction in the framework of α,η−compete rectangular b‐metric spaces. Further, we establish some fixed point theorems for this type of mappings defined on such spaces. Our results generalize and improve many of the well-known...

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Main Authors: Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani, Mohamed Aamri
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2020/5689458
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author Abdelkarim Kari
Mohamed Rossafi
El Miloudi Marhrani
Mohamed Aamri
author_facet Abdelkarim Kari
Mohamed Rossafi
El Miloudi Marhrani
Mohamed Aamri
author_sort Abdelkarim Kari
collection DOAJ
description In this paper, we present some fixed point results for generalized θ‐ϕ‐contraction in the framework of α,η−compete rectangular b‐metric spaces. Further, we establish some fixed point theorems for this type of mappings defined on such spaces. Our results generalize and improve many of the well-known results. Moreover, to support our main results, we give an illustrative example.
format Article
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institution Kabale University
issn 0161-1712
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-14361b91273146da965c686b519a3ea72025-02-03T01:04:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/56894585689458θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric SpacesAbdelkarim Kari0Mohamed Rossafi1El Miloudi Marhrani2Mohamed Aamri3Laboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoDepartment of Mathematics, University of Ibn Tofail, B.P. 133 Kenitra, MoroccoLaboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoIn this paper, we present some fixed point results for generalized θ‐ϕ‐contraction in the framework of α,η−compete rectangular b‐metric spaces. Further, we establish some fixed point theorems for this type of mappings defined on such spaces. Our results generalize and improve many of the well-known results. Moreover, to support our main results, we give an illustrative example.http://dx.doi.org/10.1155/2020/5689458
spellingShingle Abdelkarim Kari
Mohamed Rossafi
El Miloudi Marhrani
Mohamed Aamri
θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces
International Journal of Mathematics and Mathematical Sciences
title θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces
title_full θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces
title_fullStr θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces
title_full_unstemmed θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces
title_short θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces
title_sort θ ϕ contraction on α η complete rectangular b metric spaces
url http://dx.doi.org/10.1155/2020/5689458
work_keys_str_mv AT abdelkarimkari thphcontractiononaēcompleterectangularbmetricspaces
AT mohamedrossafi thphcontractiononaēcompleterectangularbmetricspaces
AT elmiloudimarhrani thphcontractiononaēcompleterectangularbmetricspaces
AT mohamedaamri thphcontractiononaēcompleterectangularbmetricspaces