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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 896912, 19 pages
http://dx.doi.org/10.1155/2012/896912
Research Article

Generalized Proximal -Contraction Mappings and Best Proximity Points

1Department of Mathematics, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand
2Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand
3Department of Mathematics, Faculty of Science, King Mongkut's, University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, Thailand

Received 19 July 2012; Accepted 24 September 2012

Academic Editor: Haiyun Zhou

Copyright © 2012 Winate Sanhan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [8 citations]

The following is the list of published articles that have cited the current article.

  • Poom Kumam, Hassen Aydi, and Erdal Karapinar, “Best proximity points and extension of Mizoguchi-Takahashi's fixed point th eorems,” Fixed Point Theory and Applications, 2013. View at Publisher · View at Google Scholar
  • Wutiphol Sintunavarat, “The existence of optimal approximate solution theorems for generalized alph a-proximal contraction non-self mappings and applications,” Fixed Point Theory and Applications, 2013. View at Publisher · View at Google Scholar
  • Hemant Kumar Nashine, Poom Kumam, and Calogero Vetro, “Best proximity point theorems for rational proximal contractions,” Fixed Point Theory and Applications, 2013. View at Publisher · View at Google Scholar
  • Wutiphol Sintunavarat, and Poom Kumam, “The Existence Theorems of an Optimal Approximate Solution for Generalized Proximal Contraction Mappings,” Abstract and Applied Analysis, vol. 2013, pp. 1–8, 2013. View at Publisher · View at Google Scholar
  • M. De la Sen, and E. Karapinar, “Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications to Impulsive Differential and Difference Equations,” Abstract and Applied Analysis, vol. 2013, pp. 1–16, 2013. View at Publisher · View at Google Scholar
  • Maryam A. Alghamdi, Naseer Shahzad, and Francesca Vetro, “Best Proximity Points for Some Classes of Proximal Contractions,” Abstract and Applied Analysis, vol. 2013, pp. 1–10, 2013. View at Publisher · View at Google Scholar
  • N. Hussain, M. A. Kutbi, and P. Salimi, “Best Proximity Point Results for Modified --Proximal Rational Contractions,” Abstract and Applied Analysis, vol. 2013, pp. 1–14, 2013. View at Publisher · View at Google Scholar
  • Poom Kumam, and Antonio Francisco Roldán López de Hierro, “On Existence and Uniqueness of -Best Proximity Points under -Contractivity Conditions and Consequences,” Abstract and Applied Analysis, vol. 2014, pp. 1–14, 2014. View at Publisher · View at Google Scholar