Given A and B two subsets of a metric space, a mapping T : A∪B → A∪B is said to be cyclic if T (A) ⊆ B and T (B) ⊆ A. It is known that, if A and B are nonempty and complete and the cyclic map… (More)

Copyright q 2010 Rafa Espínola et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any… (More)

We study the nonexpansivity of reflection mappings in geodesic spaces and apply our findings to the averaged alternating reflection algorithm employed in solving the convex feasibility problem for… (More)

In this paper we study several properties of Chebyshev sets in geodesic spaces. We focus on analyzing if some well-known results that characterize convexity of such sets in Hilbert spaces are also… (More)

In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence of iterates to such proximity points. We take two different approaches,… (More)

Given A and B two nonempty subsets in a metric space, a mapping T : A ∪ B → A ∪ B is relatively nonexpansive if d(Tx, T y) ≤ d(x, y) for every x ∈ A, y ∈ B. A best proximity point for such a mapping… (More)

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) ∈ A×B such that Tx = x, Ty = y… (More)