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Coincidence points and \(R\)-weakly commuting maps. (English) Zbl 1090.54040

Summary: In this paper we extend the concept of \(R\)-weak commutativity to the setting of single-valued and multivalued mappings. We also establish a coincidence theorem for pairs of \(R\)-weakly commuting single-valued and multivalued mappings satisfying a contractive type condition.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
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