Optimal approximate solution theorems for Geraghty's proximal contractions in partially ordered sets via w-distances
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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.
Share and Cite
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
Keywords
- Optimal approximate solution
- best proximity point
- Geraghty’s proximal contraction
- generalized distances
- w-distance.
MSC
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