Some Global Optimality Results using the Contractive Conditions of Integral Type

Abstract

In this paper, we establish new best proximity point theorems considering a classical global optimization problem of finding the minimum distance between pairs of closed sets using the contractive conditions of integral type on a complete metric space. These results can be used to find optimal approximate solutions by means of some contractive conditions of integral type. Also an illustrative example is given. © 2020, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.