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.

Bibliographic Details
Main Authors: Saleh Omran, Ibtisam Masmali
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/7865976
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spelling doaj-f73963934e9149fab445f7991c1bedcc2021-09-06T00:00:45ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/7865976On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point TheoremsSaleh Omran0Ibtisam Masmali1Department of MathematicsDepartment of MathematicsIn 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
collection DOAJ
language English
format Article
sources DOAJ
author Saleh Omran
Ibtisam Masmali
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
author_facet Saleh Omran
Ibtisam Masmali
author_sort Saleh Omran
title 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_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_sort on the α−ψ-contractive mappings in c∗-algebra valued b-metric spaces and fixed point theorems
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
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.
url http://dx.doi.org/10.1155/2021/7865976
work_keys_str_mv AT salehomran ontheapscontractivemappingsincalgebravaluedbmetricspacesandfixedpointtheorems
AT ibtisammasmali ontheapscontractivemappingsincalgebravaluedbmetricspacesandfixedpointtheorems
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