Common α -Fuzzy Fixed Point Results for F -Contractions with Applications

Jamshaid Ahmad, Giuseppe Marino and Saleh Abdullah Al-Mezel
Additional contact information
Jamshaid Ahmad: Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia
Giuseppe Marino: Department of Mathematics and Computer Science, University of Calabria, Via P. Bucci, 87036 Arcavacata di Rende (CS), Italy
Saleh Abdullah Al-Mezel: Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia

Mathematics, 2021, vol. 9, issue 3, 1-14

Abstract: F -contractions have inspired a branch of metric fixed point theory committed to the generalization of the classical Banach contraction principle. The study of these contractions and α -fuzzy mappings in b -metric spaces was attempted timidly and was not successful. In this article, the main objective is to obtain common α -fuzzy fixed point results for F -contractions in b -metric spaces. Some multivalued fixed point results in the literature are derived as consequences of our main results. We also provide a non-trivial example to show the validity of our results. As applications, we investigate the solution for fuzzy initial value problems in the context of a generalized Hukuhara derivative. Our results generalize, improve and complement several developments from the existing literature.

Keywords: complete b -metric spaces; F -contractions; α -fuzzy mappings; multivalued mappings; Hukuhara derivative (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/2227-7390/9/3/277/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/3/277/ (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:3:p:277-:d:490092

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 ().