Some Global Optimality Results using the Contractive Conditions of Integral Type

Year 2020, Volume: 8 Issue: 1, 30 - 37, 15.04.2020

Nihal Taş Nihal Yılmaz Özgür

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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