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Artículo
Best proximity pair results for relatively nonexpansive mappings in geodesic spaces
(Marcel. Dekker, 2014)
Given A and B two nonempty subsets in a metric space, a mapping T : A ∪ B → A ∪ B is relatively nonexpansive if d(T x, T y) ≤ d(x, y) for every x ∈ A, y ∈ B. A best proximity point for such a mapping is a point x ∈ A ∪ ...
Artículo
Best proximity points for proximal contractions
(Yokohama Publishers, 2014)
In this paper we improve and extend some best proximity point results concerning the so- called proximal contractions. Specifically, compactness assumptions under the sets A and B are removed to consider completeness ...