The Existence and Uniqueness of Coupled Best Proximity Point for Proximally Coupled Contraction in a Complete Ordered Metric Space

V. Pragadeeswarar; M. Marudai; P. Kumam; K. Sitthithakerngkiet

doi:10.1155/2014/274062

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2014 The Existence and Uniqueness of Coupled Best Proximity Point for Proximally Coupled Contraction in a Complete Ordered Metric Space

V. Pragadeeswarar, M. Marudai, P. Kumam, K. Sitthithakerngkiet

Abstr. Appl. Anal. 2014(SI22): 1-7 (2014). DOI: 10.1155/2014/274062

Abstract

We prove the existence and uniqueness of coupled best proximity point for mappings satisfying the proximally coupled contraction in a complete ordered metric space. Further, our result provides an extension of a result due to Bhaskar and Lakshmikantham.

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V. Pragadeeswarar. M. Marudai. P. Kumam. K. Sitthithakerngkiet. "The Existence and Uniqueness of Coupled Best Proximity Point for Proximally Coupled Contraction in a Complete Ordered Metric Space." Abstr. Appl. Anal. 2014 (SI22) 1 - 7, 2014. https://doi.org/10.1155/2014/274062