On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point Theorems

In this paper, for a unital C∗-algebra A, we introduce a version of α-ψ-contractive mappings in C∗-algebra valued b-metric spaces, and we prove some Banach fixed point theorems and give some examples to illustrate our results.

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Main Authors: Saleh Omran, Ibtisam Masmali
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/7865976
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author Saleh Omran
Ibtisam Masmali
author_facet Saleh Omran
Ibtisam Masmali
author_sort Saleh Omran
collection DOAJ
description In this paper, for a unital C∗-algebra A, we introduce a version of α-ψ-contractive mappings in C∗-algebra valued b-metric spaces, and we prove some Banach fixed point theorems and give some examples to illustrate our results.
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institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
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series Journal of Mathematics
spelling doaj-art-f73963934e9149fab445f7991c1bedcc2025-02-03T07:23:54ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/78659767865976On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point TheoremsSaleh Omran0Ibtisam Masmali1Department of Mathematics, South Valley University, Qena 83523, EgyptDepartment of Mathematics, College of Science, Jazan University, Jazan, Saudi ArabiaIn this paper, for a unital C∗-algebra A, we introduce a version of α-ψ-contractive mappings in C∗-algebra valued b-metric spaces, and we prove some Banach fixed point theorems and give some examples to illustrate our results.http://dx.doi.org/10.1155/2021/7865976
spellingShingle Saleh Omran
Ibtisam Masmali
On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point Theorems
Journal of Mathematics
title On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point Theorems
title_full On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point Theorems
title_fullStr On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point Theorems
title_full_unstemmed On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point Theorems
title_short On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point Theorems
title_sort on the α ψ contractive mappings in c∗ algebra valued b metric spaces and fixed point theorems
url http://dx.doi.org/10.1155/2021/7865976
work_keys_str_mv AT salehomran ontheapscontractivemappingsincalgebravaluedbmetricspacesandfixedpointtheorems
AT ibtisammasmali ontheapscontractivemappingsincalgebravaluedbmetricspacesandfixedpointtheorems