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The purpose of this paper is to solve some global optimization problems for Geraghty type proximal contractions in the setting of partially ordered sets with a metric by using a w-distance and an algorithm for determining such an optimal approximate solution, also, we give some examples to illustrate our main results. c ©2017 All rights reserved.

Optimal approximate solution theorems for Geraghty's proximal contractions in partially ordered sets via w-distances