Some fixed points of multivalued maps in multiplicative metric spaces.

Autor: Ige AO; Department of Mathematics, Lagos State University, Ojo, Nigeria., Olaoluwa HO; Department of Mathematics, University of Lagos, Akoka, Nigeria., Olaleru JO; Department of Mathematics, University of Lagos, Akoka, Nigeria.
Jazyk: angličtina
Zdroj: Heliyon [Heliyon] 2022 Dec 15; Vol. 8 (12), pp. e12453. Date of Electronic Publication: 2022 Dec 15 (Print Publication: 2022).
DOI: 10.1016/j.heliyon.2022.e12453
Abstrakt: In this manuscript, new fixed point theorems for multivalued maps, particularly α - ϕ contractions, in complete multiplicative metric spaces are proved. We further prove a fixed point theorem for multivalued mappings on a graph-equipped multiplicative metric space. Our results extend the result of Dosenovic et al. [4], and generalize the result of Ali et al. [2]. We included an example to validate our result.
Competing Interests: The authors declare no conflict of interest.
(© 2022 The Authors. Published by Elsevier Ltd.)
Databáze: MEDLINE