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A multivalued fixed point theorem in ultrametric spaces. (English) Zbl 1069.47508

The author proves that a class of generalized contractive multivalued mappings on a spherically complete ultrametric space has a fixed point.

MSC:

47H10 Fixed-point theorems
47H04 Set-valued operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
54H25 Fixed-point and coincidence theorems (topological aspects)
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