On Orthogonal Partial b-Metric Spaces with an Application

In this paper, we initiate the concept of orthogonal partial b-metric spaces. We ensure the existence of a unique fixed point for some orthogonal contractive type mappings. Some useful examples are given, and an application is also provided in support of the obtained results.

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Main Authors: Khalil Javed, Hassen Aydi, Fahim Uddin, Muhammad Arshad
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6692063
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author Khalil Javed
Hassen Aydi
Fahim Uddin
Muhammad Arshad
author_facet Khalil Javed
Hassen Aydi
Fahim Uddin
Muhammad Arshad
author_sort Khalil Javed
collection DOAJ
description In this paper, we initiate the concept of orthogonal partial b-metric spaces. We ensure the existence of a unique fixed point for some orthogonal contractive type mappings. Some useful examples are given, and an application is also provided in support of the obtained results.
format Article
id doaj-art-cf1d8be020724faca78403b08061ac61
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-cf1d8be020724faca78403b08061ac612025-02-03T01:20:49ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66920636692063On Orthogonal Partial b-Metric Spaces with an ApplicationKhalil Javed0Hassen Aydi1Fahim Uddin2Muhammad Arshad3Department of Math Stats, International Islamic University, Islamabad, PakistanUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Math Stats, International Islamic University, Islamabad, PakistanDepartment of Math Stats, International Islamic University, Islamabad, PakistanIn this paper, we initiate the concept of orthogonal partial b-metric spaces. We ensure the existence of a unique fixed point for some orthogonal contractive type mappings. Some useful examples are given, and an application is also provided in support of the obtained results.http://dx.doi.org/10.1155/2021/6692063
spellingShingle Khalil Javed
Hassen Aydi
Fahim Uddin
Muhammad Arshad
On Orthogonal Partial b-Metric Spaces with an Application
Journal of Mathematics
title On Orthogonal Partial b-Metric Spaces with an Application
title_full On Orthogonal Partial b-Metric Spaces with an Application
title_fullStr On Orthogonal Partial b-Metric Spaces with an Application
title_full_unstemmed On Orthogonal Partial b-Metric Spaces with an Application
title_short On Orthogonal Partial b-Metric Spaces with an Application
title_sort on orthogonal partial b metric spaces with an application
url http://dx.doi.org/10.1155/2021/6692063
work_keys_str_mv AT khaliljaved onorthogonalpartialbmetricspaceswithanapplication
AT hassenaydi onorthogonalpartialbmetricspaceswithanapplication
AT fahimuddin onorthogonalpartialbmetricspaceswithanapplication
AT muhammadarshad onorthogonalpartialbmetricspaceswithanapplication