On Fixed Point Results in Partial b-Metric Spaces

Partial b-metric spaces are characterised by a modified triangular inequality and that the self-distance of any point of space may not be zero and the symmetry is preserved. The spaces with a symmetric property have interesting topological properties. This manuscript paper deals with the existence a...

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Main Authors: Haitham Qawaqneh, Mohd Salmi Md Noorani, Hassen Aydi, Amjed Zraiqat, Arslan Hojat Ansari
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/8769190
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spelling doaj-4bf68b01e68e49c888cc58f8d073711b2021-03-29T00:09:12ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/8769190On Fixed Point Results in Partial b-Metric SpacesHaitham Qawaqneh0Mohd Salmi Md Noorani1Hassen Aydi2Amjed Zraiqat3Arslan Hojat Ansari4Department of MathematicsSchool of Mathematical SciencesUniversité de SousseDepartment of MathematicsDepartment of MathematicsPartial b-metric spaces are characterised by a modified triangular inequality and that the self-distance of any point of space may not be zero and the symmetry is preserved. The spaces with a symmetric property have interesting topological properties. This manuscript paper deals with the existence and uniqueness of fixed point points for contraction mappings using triangular weak α-admissibility with regard to η and C-class functions in the class of partial b-metric spaces. We also introduce an example to demonstrate the obtained results.http://dx.doi.org/10.1155/2021/8769190
collection DOAJ
language English
format Article
sources DOAJ
author Haitham Qawaqneh
Mohd Salmi Md Noorani
Hassen Aydi
Amjed Zraiqat
Arslan Hojat Ansari
spellingShingle Haitham Qawaqneh
Mohd Salmi Md Noorani
Hassen Aydi
Amjed Zraiqat
Arslan Hojat Ansari
On Fixed Point Results in Partial b-Metric Spaces
Journal of Function Spaces
author_facet Haitham Qawaqneh
Mohd Salmi Md Noorani
Hassen Aydi
Amjed Zraiqat
Arslan Hojat Ansari
author_sort Haitham Qawaqneh
title On Fixed Point Results in Partial b-Metric Spaces
title_short On Fixed Point Results in Partial b-Metric Spaces
title_full On Fixed Point Results in Partial b-Metric Spaces
title_fullStr On Fixed Point Results in Partial b-Metric Spaces
title_full_unstemmed On Fixed Point Results in Partial b-Metric Spaces
title_sort on fixed point results in partial b-metric spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description Partial b-metric spaces are characterised by a modified triangular inequality and that the self-distance of any point of space may not be zero and the symmetry is preserved. The spaces with a symmetric property have interesting topological properties. This manuscript paper deals with the existence and uniqueness of fixed point points for contraction mappings using triangular weak α-admissibility with regard to η and C-class functions in the class of partial b-metric spaces. We also introduce an example to demonstrate the obtained results.
url http://dx.doi.org/10.1155/2021/8769190
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AT hassenaydi onfixedpointresultsinpartialbmetricspaces
AT amjedzraiqat onfixedpointresultsinpartialbmetricspaces
AT arslanhojatansari onfixedpointresultsinpartialbmetricspaces
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