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
Pages
12
From page
2934
To page
2945
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
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476613
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