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Two fixed point results for multivalued \(F\)-contractions on \(M\)-metric spaces. (English) Zbl 1489.54211

Summary: In this article, by considering Feng-Liu’s technique, we present new fixed point results for multivalued mappings which are regarding to \(F\)-contraction on \(M\)-complete \(M\)-metric space. Then, we provide some nontrivial examples showing that our main results proper extension of some earlier results in the literature.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
54E40 Special maps on metric spaces
54C60 Set-valued maps in general topology
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