Multivalued Contraction Fixed-Point Theorem in b -Metric Spaces

Bachir Slimani, John R. Graef () and Abdelghani Ouahab
Additional contact information
Bachir Slimani: Laboratory of Mathematics, University Sidi-Bel-Abbès, P.O. Box 89, Sidi-Bel-Abbès 2200, Algeria
John R. Graef: Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA
Abdelghani Ouahab: Laboratory of Mathematics, University Sidi-Bel-Abbès, P.O. Box 89, Sidi-Bel-Abbès 2200, Algeria

Mathematics, 2024, vol. 12, issue 4, 1-11

Abstract: The authors explore fixed-point theory in b -metric spaces and strong b -metric spaces. They wish to prove some new extensions of the Covitz and Nadler fixed-point theorem in b -metric spaces. In so doing, they wish to answer a question proposed by Kirk and Shahzad about Nadler’s theorem holding in strong b -metric spaces. In addition, they offer an improvement to the fixed-point theorem proven by Dontchev and Hager.

Keywords: b -metric spaces; fixed-point theorems; multivalued maps; contractions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/4/567/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/4/567/ (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:12:y:2024:i:4:p:567-:d:1338435

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 ().