Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras

Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras

In this paper, we introduce the concept of a Pbr-cone metric space over Banach algebras and prove some fixed point results under various contractive mappings in such a space. Some examples are given to elucidate the results. Our results extend and generalize many existing results in the literature.

Bibliographic Details
Main Authors: Abba Auwalu, Evren Hinçal
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/8447435
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spelling doaj-c27fc820dfb54445ac42e3baf16526c32021-06-07T02:13:57ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/8447435Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach AlgebrasAbba Auwalu0Evren Hinçal1Department of Mathematics and Computer ScienceDepartment of MathematicsIn this paper, we introduce the concept of a Pbr-cone metric space over Banach algebras and prove some fixed point results under various contractive mappings in such a space. Some examples are given to elucidate the results. Our results extend and generalize many existing results in the literature.http://dx.doi.org/10.1155/2021/8447435
collection DOAJ
language English
format Article
sources DOAJ
author Abba Auwalu
Evren Hinçal
spellingShingle Abba Auwalu
Evren Hinçal
Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras
Journal of Mathematics
author_facet Abba Auwalu
Evren Hinçal
author_sort Abba Auwalu
title Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras
title_short Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras
title_full Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras
title_fullStr Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras
title_full_unstemmed Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras
title_sort some fixed point theorems of contractive mappings in pbr-cone metric spaces over banach algebras
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description In this paper, we introduce the concept of a Pbr-cone metric space over Banach algebras and prove some fixed point results under various contractive mappings in such a space. Some examples are given to elucidate the results. Our results extend and generalize many existing results in the literature.
url http://dx.doi.org/10.1155/2021/8447435
work_keys_str_mv AT abbaauwalu somefixedpointtheoremsofcontractivemappingsinpbrconemetricspacesoverbanachalgebras
AT evrenhincal somefixedpointtheoremsofcontractivemappingsinpbrconemetricspacesoverbanachalgebras
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