Fixed-point theorem for multivalued quasi-contraction maps in a \(V\)-fuzzy metric space. (English) Zbl 1477.54152

Sookoo, Matthew Brijesh; Gunakala, Sreedhara Rao

Abstr. Appl. Anal. 2020, Article ID 2609316, 7 p. (2020).

Summary: In this paper, we introduce the concept of a set-valued or multivalued quasi-contraction mapping in \(V\)-fuzzy metric spaces. Using this new concept, a fixed-point theorem is established. We also provide an example verifying and illustrating the fixed-point theorem in action.

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
54A40	Fuzzy topology
54E40	Special maps on metric spaces

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