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

Author

Listed:
  • 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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:274062
    DOI: 10.1155/2014/274062
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    References listed on IDEAS

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    1. Erdal Karapınar & V. Pragadeeswarar & M. Marudai, 2014. "Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Erdal Karapınar & V. Pragadeeswarar & M. Marudai, 2014. "Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, January.
    3. Poom Kumam & Fayyaz Rouzkard & Mohammad Imdad & Dhananjay Gopal, 2013. "Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Poom Kumam & Fayyaz Rouzkard & Mohammad Imdad & Dhananjay Gopal, 2013. "Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, August.
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    Cited by:

    1. V. Pragadeeswarar & M. Marudai, 2015. "Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    2. Muhammad Usman Ali & Tayyab Kamran & Naseer Shahzad, 2014. "Best Proximity Point for α‐ψ‐Proximal Contractive Multimaps," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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