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


Authors

Chirasak Mongkolkeha - Department of Mathematics, Statistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand. Eunyoung Kim - Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea. Yeol Je Cho - Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea. - Center for General Education, China Medical University, Taichung, 40402, Taiwan.


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.


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ISRP Style

Chirasak Mongkolkeha, Eunyoung Kim, Yeol Je Cho, Optimal approximate solution theorems for Geraghty's proximal contractions in partially ordered sets via w-distances, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 2934--2945

AMA Style

Mongkolkeha Chirasak, Kim Eunyoung, Cho Yeol Je, Optimal approximate solution theorems for Geraghty's proximal contractions in partially ordered sets via w-distances. J. Nonlinear Sci. Appl. (2017); 10(6):2934--2945

Chicago/Turabian Style

Mongkolkeha, Chirasak, Kim, Eunyoung, Cho, Yeol Je. "Optimal approximate solution theorems for Geraghty's proximal contractions in partially ordered sets via w-distances." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 2934--2945


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