Best proximity points for relatively $$u$$-continuous mappings in Banach and hyperconvex spaces.(English)Zbl 1470.47044

Summary: We prove some best proximity point results for relatively $$u$$-continuous mappings in Banach and hyperconvex metric spaces. Our results generalize and extend some recent results to relatively $$u$$-continuous mappings and to general spaces.

MSC:

 47H10 Fixed-point theorems 46B20 Geometry and structure of normed linear spaces 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces
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References:

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