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

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

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.

Suggested Citation

  • V. Pragadeeswarar & M. Marudai & P. Kumam & K. Sitthithakerngkiet, 2014. "The Existence and Uniqueness of Coupled Best Proximity Point for Proximally Coupled Contraction in a Complete Ordered Metric Space," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnlaaa:274062
    DOI: 10.1155/2014/274062
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