On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems

On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems

In the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and a...

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Main Authors: Jerolina Fernandez, Neeraj Malviya, Vahid Parvaneh, Hassen Aydi, Babak Mohammadi
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/6620083
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spelling doaj-bb041f240531426492980817af9b39292021-07-02T20:36:19ZengHindawi LimitedAdvances in Mathematical Physics1687-91392021-01-01202110.1155/2021/66200836620083On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point TheoremsJerolina Fernandez0Neeraj Malviya1Vahid Parvaneh2Hassen Aydi3Babak Mohammadi4Department of ScienceDepartment of MathematicsDepartment of MathematicsUniversité de SousseDepartment of MathematicsIn the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results.http://dx.doi.org/10.1155/2021/6620083
collection DOAJ
language English
format Article
sources DOAJ
author Jerolina Fernandez
Neeraj Malviya
Vahid Parvaneh
Hassen Aydi
Babak Mohammadi
spellingShingle Jerolina Fernandez
Neeraj Malviya
Vahid Parvaneh
Hassen Aydi
Babak Mohammadi
On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
Advances in Mathematical Physics
author_facet Jerolina Fernandez
Neeraj Malviya
Vahid Parvaneh
Hassen Aydi
Babak Mohammadi
author_sort Jerolina Fernandez
title On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
title_short On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
title_full On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
title_fullStr On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
title_full_unstemmed On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
title_sort on j-cone metric spaces over a banach algebra and some fixed-point theorems
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9139
publishDate 2021-01-01
description In the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results.
url http://dx.doi.org/10.1155/2021/6620083
work_keys_str_mv AT jerolinafernandez onjconemetricspacesoverabanachalgebraandsomefixedpointtheorems
AT neerajmalviya onjconemetricspacesoverabanachalgebraandsomefixedpointtheorems
AT vahidparvaneh onjconemetricspacesoverabanachalgebraandsomefixedpointtheorems
AT hassenaydi onjconemetricspacesoverabanachalgebraandsomefixedpointtheorems
AT babakmohammadi onjconemetricspacesoverabanachalgebraandsomefixedpointtheorems
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