EXISTENCE AND UNIQUENESS OF COUPLED BEST PROXIMITY POINT IN PARTIALLY ORDERED METRIC SPACES

Abstract

In this paper we utilize a generalized almost contractive mapping to establish some coupled best proximity point results which are global optimization results of finding the minimum distances between two sets. The results are obtained in metric spaces with a partial ordering defined therein. There is a blending of analytic and order theoretic approaches in the proofs. We illustrate the main theorem through an example.