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

Rahmah Mustafa, Saleh Omran and Quang Ngoc Nguyen
Additional contact information
Rahmah Mustafa: Department of Mathematics, Faculty of Science, AL-Baha University, Alaqiq 65779-77388, Saudi Arabia
Saleh Omran: Department of Mathematics, South Valley University, Safaga Road, Km 6 Qena, Qena 83523, Egypt
Quang Ngoc Nguyen: Department of Communications and Computer Engineering, School of Fundamental Science and Engineering, Waseda University, Shinjuku-ku, Tokyo 169-0051, Japan

Mathematics, 2021, vol. 9, issue 1, 1-8

Abstract: 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.

Keywords: C*-algebra valued; b-metric spaces; fixed point theory; common Banach fixed point; contractive mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/1/92/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/1/92/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:1:p:92-:d:474411

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().