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.

Keywords

• global optimality,best proximity point,integral type,metric space,completeness

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