Geodesic
Optimal approximate solution theorems for Geraghty's proximal contractions in partially ordered sets via w-distances
Mongkolkeha, Chirasak1 ; Kim, Eunyoung2 ; Cho, Yeol Je3
1 Department of Mathematics, Statistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand
2 Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea
3 Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea;Center for General Education, China Medical University, Taichung, 40402, Taiwan
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 6, p. 2934-2945.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.06.08
Classification : 47H09, 47H10, 54H25
Keywords: Optimal approximate solution, best proximity point, Geraghty’s proximal contraction, generalized distances, w-distance.

Mongkolkeha, Chirasak 1 ; Kim, Eunyoung 2 ; Cho, Yeol Je 3

1 Department of Mathematics, Statistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand
2 Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea
3 Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea;Center for General Education, China Medical University, Taichung, 40402, Taiwan 
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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 its applications, Tome 10 (2017) no. 6, p. 2934-2945. doi : 10.22436/jnsa.010.06.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.06.08/

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