$ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems

$ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems

In the present paper, for a unital $ C^* $-algebra A, we introduce a version of $ \alpha_A $-admissible on $ C^* $-algebra-valued b-metric space, we proved some Banach and common fixed point theorems using $ \alpha_A $-admissible. Also, we give some non-trivial examples and an application to illustr...

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Main Authors: Saleh Omran, Ibtisam Masmali
Format: Article
Language:English
Published: AIMS Press 2021-07-01
Series:AIMS Mathematics
Subjects:
c<sup>∗</sup>-algebra-valued b-metric space
fixed point theorem
α-admissible
Online Access:https://aimspress.com/article/doi/10.3934/math.2021590?viewType=HTML
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spelling doaj-7d510180c8f04f6381c2fb1598be4dcc2021-07-21T06:40:56ZengAIMS PressAIMS Mathematics2473-69882021-07-0169101921020610.3934/math.2021590$ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theoremsSaleh Omran 0Ibtisam Masmali11. Department of Mathematics, South Valley University, Qena 83523, Egypt2. Department of Mathematics, College of Science, Jazan University, New Campus, Post Box 2097, Jazan, Saudi ArabiaIn the present paper, for a unital $ C^* $-algebra A, we introduce a version of $ \alpha_A $-admissible on $ C^* $-algebra-valued b-metric space, we proved some Banach and common fixed point theorems using $ \alpha_A $-admissible. Also, we give some non-trivial examples and an application to illustrate our results.https://aimspress.com/article/doi/10.3934/math.2021590?viewType=HTMLc<sup>∗</sup>-algebra-valued b-metric spacefixed point theoremα-admissible
collection DOAJ
language English
format Article
sources DOAJ
author Saleh Omran
Ibtisam Masmali
spellingShingle Saleh Omran
Ibtisam Masmali
$ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems
AIMS Mathematics
c<sup>∗</sup>-algebra-valued b-metric space
fixed point theorem
α-admissible
author_facet Saleh Omran
Ibtisam Masmali
author_sort Saleh Omran
title $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems
title_short $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems
title_full $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems
title_fullStr $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems
title_full_unstemmed $ \alpha $-Admissible mapping in $ C^{*} $-algebra-valued b-metric spaces and fixed point theorems
title_sort $ \alpha $-admissible mapping in $ c^{*} $-algebra-valued b-metric spaces and fixed point theorems
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-07-01
description In the present paper, for a unital $ C^* $-algebra A, we introduce a version of $ \alpha_A $-admissible on $ C^* $-algebra-valued b-metric space, we proved some Banach and common fixed point theorems using $ \alpha_A $-admissible. Also, we give some non-trivial examples and an application to illustrate our results.
topic c<sup>∗</sup>-algebra-valued b-metric space
fixed point theorem
α-admissible
url https://aimspress.com/article/doi/10.3934/math.2021590?viewType=HTML
work_keys_str_mv AT salehomran alphaadmissiblemappingincalgebravaluedbmetricspacesandfixedpointtheorems
AT ibtisammasmali alphaadmissiblemappingincalgebravaluedbmetricspacesandfixedpointtheorems
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