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Existence theorems for single-valued and set-valued mappings with \(w\)-distances in metric spaces. (English) Zbl 1505.54071

Summary: In this paper, using the concept of \(w\)-distances, and we prove existence theorems for single-valued mappings and set-valued mappings in a complete metric space which generalize Takahashi, Wong, and Yao’s theorems.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E50 Complete metric spaces
54E40 Special maps on metric spaces
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