Publication Type : Journal Article
Publisher : Fixed Point Theory and Applications
Source : Fixed Point Theory and Applications, 2014, 1 (2014), 1-13
Url : https://fixedpointtheoryandalgorithms.springeropen.com/articles/10.1186/1687-1812-2014-107
Campus : Coimbatore
Year : 2014
Abstract : In this paper, we prove the existence and uniqueness of a coupled best proximity point for mappings satisfying the proximally coupled contraction condition in a complete ordered metric space. Further, our result provides an extension of a result due to Luong and Thuan (Comput. Math. Appl. 62(11):4238-4248, 2011; Nonlinear Anal. 74:983-992, 2011). MSC:41A65, 90C30, 47H10.
Cite this Research Publication : P. Kumam, V. Pragadeeswarar, M. Marudai, K. Sitthithakerngkiet, Coupled best proximity points in ordered metric spaces, Fixed Point Theory and Applications, 2014, 1 (2014), 1-13.