Fixed Point Theory Using ψ Contractive Mapping in C*-Algebra Valued B-Metric Space

Fixed Point Theory Using ψ Contractive Mapping in C*-Algebra Valued B-Metric Space

In this paper, fixed point theorems using ψ contractive mapping in C*-algebra valued b-metric space are introduced. By stating multiple scenarios that illustrate the application domains, we demonstrate several applications from the obtained results. In particular, we begin with the definition of the...

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Main Authors: Rahmah Mustafa, Saleh Omran, Quang Ngoc Nguyen
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Mathematics
Subjects:
C*-algebra valued
b-metric spaces
fixed point theory
common Banach fixed point
contractive mapping
Online Access:https://www.mdpi.com/2227-7390/9/1/92
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spelling doaj-417bede4a4534d43ba2edf4168f818a82021-01-05T00:01:56ZengMDPI AGMathematics2227-73902021-01-019929210.3390/math9010092Fixed Point Theory Using ψ Contractive Mapping in C*-Algebra Valued B-Metric SpaceRahmah Mustafa0Saleh Omran1Quang Ngoc Nguyen2Department of Mathematics, Faculty of Science, AL-Baha University, Alaqiq 65779-77388, Saudi ArabiaDepartment of Mathematics, South Valley University, Safaga Road, Km 6 Qena, Qena 83523, EgyptDepartment of Communications and Computer Engineering, School of Fundamental Science and Engineering, Waseda University, Shinjuku-ku, Tokyo 169–0051, JapanIn this paper, fixed point theorems using ψ contractive mapping in C*-algebra valued b-metric space are introduced. By stating multiple scenarios that illustrate the application domains, we demonstrate several applications from the obtained results. In particular, we begin with the definition of the positive function and then recall some properties of the function that lay the fundamental basis for the research. We then study some fixed point theorems in the C*-algebra valued b-metric space using a positive function.https://www.mdpi.com/2227-7390/9/1/92C*-algebra valuedb-metric spacesfixed point theorycommon Banach fixed pointcontractive mapping
collection DOAJ
language English
format Article
sources DOAJ
author Rahmah Mustafa
Saleh Omran
Quang Ngoc Nguyen
spellingShingle Rahmah Mustafa
Saleh Omran
Quang Ngoc Nguyen
Fixed Point Theory Using ψ Contractive Mapping in C*-Algebra Valued B-Metric Space
Mathematics
C*-algebra valued
b-metric spaces
fixed point theory
common Banach fixed point
contractive mapping
author_facet Rahmah Mustafa
Saleh Omran
Quang Ngoc Nguyen
author_sort Rahmah Mustafa
title Fixed Point Theory Using ψ Contractive Mapping in C*-Algebra Valued B-Metric Space
title_short Fixed Point Theory Using ψ Contractive Mapping in C*-Algebra Valued B-Metric Space
title_full Fixed Point Theory Using ψ Contractive Mapping in C*-Algebra Valued B-Metric Space
title_fullStr Fixed Point Theory Using ψ Contractive Mapping in C*-Algebra Valued B-Metric Space
title_full_unstemmed Fixed Point Theory Using ψ Contractive Mapping in C*-Algebra Valued B-Metric Space
title_sort fixed point theory using ψ contractive mapping in c*-algebra valued b-metric space
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-01-01
description In this paper, fixed point theorems using ψ contractive mapping in C*-algebra valued b-metric space are introduced. By stating multiple scenarios that illustrate the application domains, we demonstrate several applications from the obtained results. In particular, we begin with the definition of the positive function and then recall some properties of the function that lay the fundamental basis for the research. We then study some fixed point theorems in the C*-algebra valued b-metric space using a positive function.
topic C*-algebra valued
b-metric spaces
fixed point theory
common Banach fixed point
contractive mapping
url https://www.mdpi.com/2227-7390/9/1/92
work_keys_str_mv AT rahmahmustafa fixedpointtheoryusingpscontractivemappingincalgebravaluedbmetricspace
AT salehomran fixedpointtheoryusingpscontractivemappingincalgebravaluedbmetricspace
AT quangngocnguyen fixedpointtheoryusingpscontractivemappingincalgebravaluedbmetricspace
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