Fixed Point Theorems for Generalized θ−ϕ−Expansive Mapping in Rectangular Metric Spaces

In this paper, we present the notion of θ−ϕ−expansive mapping in complete rectangular metric spaces and study various fixed point theorems for such mappings. The presented theorems extend, generalize, and improve many existing results in the literature.

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Main Authors: Mohamed Rossafi, Abdelkarim Kari, El Miloudi Marhrani, Mohamed Aamri
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2021/6642723
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author Mohamed Rossafi
Abdelkarim Kari
El Miloudi Marhrani
Mohamed Aamri
author_facet Mohamed Rossafi
Abdelkarim Kari
El Miloudi Marhrani
Mohamed Aamri
author_sort Mohamed Rossafi
collection DOAJ
description In this paper, we present the notion of θ−ϕ−expansive mapping in complete rectangular metric spaces and study various fixed point theorems for such mappings. The presented theorems extend, generalize, and improve many existing results in the literature.
format Article
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institution DOAJ
issn 1085-3375
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language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-fa5b33aa388d468eb4cf59ec4eec45bf2025-08-20T03:20:03ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/66427236642723Fixed Point Theorems for Generalized θ−ϕ−Expansive Mapping in Rectangular Metric SpacesMohamed Rossafi0Abdelkarim Kari1El Miloudi Marhrani2Mohamed Aamri3LASMA Laboratory Department of Mathematics Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes, 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, MoroccoLaboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoIn this paper, we present the notion of θ−ϕ−expansive mapping in complete rectangular metric spaces and study various fixed point theorems for such mappings. The presented theorems extend, generalize, and improve many existing results in the literature.http://dx.doi.org/10.1155/2021/6642723
spellingShingle Mohamed Rossafi
Abdelkarim Kari
El Miloudi Marhrani
Mohamed Aamri
Fixed Point Theorems for Generalized θ−ϕ−Expansive Mapping in Rectangular Metric Spaces
Abstract and Applied Analysis
title Fixed Point Theorems for Generalized θ−ϕ−Expansive Mapping in Rectangular Metric Spaces
title_full Fixed Point Theorems for Generalized θ−ϕ−Expansive Mapping in Rectangular Metric Spaces
title_fullStr Fixed Point Theorems for Generalized θ−ϕ−Expansive Mapping in Rectangular Metric Spaces
title_full_unstemmed Fixed Point Theorems for Generalized θ−ϕ−Expansive Mapping in Rectangular Metric Spaces
title_short Fixed Point Theorems for Generalized θ−ϕ−Expansive Mapping in Rectangular Metric Spaces
title_sort fixed point theorems for generalized θ ϕ expansive mapping in rectangular metric spaces
url http://dx.doi.org/10.1155/2021/6642723
work_keys_str_mv AT mohamedrossafi fixedpointtheoremsforgeneralizedthphexpansivemappinginrectangularmetricspaces
AT abdelkarimkari fixedpointtheoremsforgeneralizedthphexpansivemappinginrectangularmetricspaces
AT elmiloudimarhrani fixedpointtheoremsforgeneralizedthphexpansivemappinginrectangularmetricspaces
AT mohamedaamri fixedpointtheoremsforgeneralizedthphexpansivemappinginrectangularmetricspaces