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Multivalued \(F\)-contractions on complete metric spaces. (English) Zbl 1315.54032
Summary: We introduce the concept of multivalued \(F\)-contraction mappings and give some fixed point results, which generalize some multivalued fixed point theorems including Nadler’s. Also, we give an illustrating example showing that our results are proper generalization of Nadler’s.

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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