Some fixed points of multivalued maps in multiplicative metric spaces

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 Dos...

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Bibliographic Details
Published in:Heliyon 2022-12, Vol.8 (12), p.e12453-e12453, Article e12453
Main Authors: Ige, Aminat O., Olaoluwa, Hallowed O., Olaleru, Johnson O.
Format: Article
Language:English
Subjects:
[formula omitted] contractions
Graph
Multiplicative metric spaces
Multivalued maps
α−ϕ contractions
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Summary: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. Multiplicative metric spaces; Multivalued maps; α−ϕ contractions; Graph
ISSN:2405-8440
2405-8440
DOI:10.1016/j.heliyon.2022.e12453