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Artículo
Best Proximity Pair Theorems for Noncyclic Mappings in Banach and Metric Spaces
(Casa Cărţii de Ştiinţă Cluj-Napoca (Rumanía), 2016)
Let A and B be two nonempty subsets of a metric space X. A mapping T : A[B ! A[B is said to be noncyclic if T(A) A and T(B) B. For such a mapping, a pair (x; y) 2 A B such that Tx = x, Ty = y and d(x; y) = dist(A;B) ...
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 ∪ ...