new generalization of the best proximity point problem

Let (c, d) be a nonempty pair of disjoint subsets of a metric space. main purpose of this paper is to present a range of a convergence sequence to u ∈ c ∪ d such that d(t u, fu) = dist(c, d), for mappings t, f : c ∪ d → c ∪ d. in fact, we give a generalization of best proximity point results for cyclic contractive mappings. to this end, we consider an example is presented to support the main result.