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\in C\cup D such that d(Tu,fu)=dist(C,D)‎, for mappings T,f:C\cup D\to C\cup 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. ‎‎

کلیدواژه ها:

Common best proximity point‎ ، coincidence point‎ ، metric space‎ ، ‎fixed‎ ‎point‎