Title of article :
Optimal approximate solution theorems for Geraghty’s proximal contractions in partially ordered sets via w-distances
Author/Authors :
Mongkolkeha ، Chirasak - Kasetsart University, Kamphaeng-Saen Campus , Kim ، Eunyoung - Gyeongsang National University , Cho ، Yeol Je - Gyeongsang National University
Abstract :
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.
Keywords :
Optimal approximate solution , best proximity point , Geraghty’s proximal contraction , generalized distances , w , distance
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
