Best proximity points of p-cyclic orbital Meir-Keeler contraction maps

Let (X, d) be a metric space, and A(1), A(2), ..., A(p) be nonempty subsets of X. We introduce a self map T on X, called p-cyclic orbital contraction map on the union of A(1), A(2), ..., A(p), and obtain a unique best proximity point of T, that is, a point x is an element of boolean OR(p)(i=1) A(i) such that d (x; Tx) = dist (A(i), A(i+1)), 1 <= i <= p, where dist (A(i), A(i+1)) = inf {d(x, y): x is an element of A(i), y is an element of A(i+1)}.