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A new approach to Mizoguchi-Takahashi type fixed point theorems. (English) Zbl 1352.54034
Authors’ abstract: In the present paper, we give a generalization of Mizoguchi-Takahashi’s fixed point theorem, which is a partial solution of Reich’s original problem concerning multivalued mappings on complete metric spaces.

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
54C60 Set-valued maps in general topology
54E50 Complete metric spaces
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