Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application

The goal of this manuscript is to present a new fixed-point theorem on θ−contraction mappings in the setting of rectangular M-metric spaces (RMMSs). Also, a nontrivial example to illustrate our main result has been given. Moreover, some related sequences with θ−contraction mappings have been discuss...

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Main Authors: Mustafa Mudhesh, Hasanen A. Hammad, Habes Alsamir, Muhammad Arshad, Eskandar Ameer
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5564248
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author Mustafa Mudhesh
Hasanen A. Hammad
Habes Alsamir
Muhammad Arshad
Eskandar Ameer
author_facet Mustafa Mudhesh
Hasanen A. Hammad
Habes Alsamir
Muhammad Arshad
Eskandar Ameer
author_sort Mustafa Mudhesh
collection DOAJ
description The goal of this manuscript is to present a new fixed-point theorem on θ−contraction mappings in the setting of rectangular M-metric spaces (RMMSs). Also, a nontrivial example to illustrate our main result has been given. Moreover, some related sequences with θ−contraction mappings have been discussed. Ultimately, our theoretical result has been implicated to study the existence and uniqueness of the solution to a nonlinear integral equation (NIE).
format Article
id doaj-art-3a31d7322f1a4dec90822b465b26e820
institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-3a31d7322f1a4dec90822b465b26e8202025-02-03T01:20:49ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55642485564248Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive ApplicationMustafa Mudhesh0Hasanen A. Hammad1Habes Alsamir2Muhammad Arshad3Eskandar Ameer4Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad-44000, PakistanDepartment of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptCollege of Business Administration-Finance Department, Dar Al Uloom University, Riyadh, Saudi ArabiaDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad-44000, PakistanDepartment of Mathematics, Taiz University, Taiz, YemenThe goal of this manuscript is to present a new fixed-point theorem on θ−contraction mappings in the setting of rectangular M-metric spaces (RMMSs). Also, a nontrivial example to illustrate our main result has been given. Moreover, some related sequences with θ−contraction mappings have been discussed. Ultimately, our theoretical result has been implicated to study the existence and uniqueness of the solution to a nonlinear integral equation (NIE).http://dx.doi.org/10.1155/2021/5564248
spellingShingle Mustafa Mudhesh
Hasanen A. Hammad
Habes Alsamir
Muhammad Arshad
Eskandar Ameer
Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application
Journal of Mathematics
title Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application
title_full Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application
title_fullStr Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application
title_full_unstemmed Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application
title_short Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application
title_sort recent fixed point results for θ contraction mappings in rectangular m metric spaces with supportive application
url http://dx.doi.org/10.1155/2021/5564248
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AT hasanenahammad recentfixedpointresultsforthcontractionmappingsinrectangularmmetricspaceswithsupportiveapplication
AT habesalsamir recentfixedpointresultsforthcontractionmappingsinrectangularmmetricspaceswithsupportiveapplication
AT muhammadarshad recentfixedpointresultsforthcontractionmappingsinrectangularmmetricspaceswithsupportiveapplication
AT eskandarameer recentfixedpointresultsforthcontractionmappingsinrectangularmmetricspaceswithsupportiveapplication