Abstract
Let T, S : A boolean OR B -> A boolean OR B be mappings such that T(A) subset of B, T(B) subset of A and S(A) subset of A, S(B) subset of B. Then the pair (T; S) of mappings defined on A boolean OR B is called cyclic-noncyclic pair, where A and B are two nonempty subsets of a metric space (X, d). A coincidence best proximity point p is an element of A boolean OR B for such a pair of mappings (T; S) is a point such that d(Sp, Tp) = dist(A, B). In this paper, we study the existence and convergence of coincidence best proximity points in the setting of convex metric spaces. We also present an application of one of our results to an integral equation.