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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 581267, 9 pages
http://dx.doi.org/10.1155/2014/581267
Research Article

New Results and Generalizations for Approximate Fixed Point Property and Their Applications

1Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan
2Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
3School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5746, Tehran, Iran

Received 1 December 2013; Accepted 3 January 2014; Published 4 March 2014

Academic Editor: Erdal Karapınar

Copyright © 2014 Wei-Shih Du and Farshid Khojasteh. 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 [7 citations]

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

  • Mojgan Javahernia, Abdolrahman Razani, and Farshid Khojasteh, “Common fixed point of the generalized Mizoguchi-Takahashi’s type contractions,” Fixed Point Theory and Applications, vol. 2014, no. 1, pp. 195, 2014. View at Publisher · View at Google Scholar
  • Wei-Shih Du, Farshid Khojasteh, and Yung-Nan Chiu, “Some generalizations of Mizoguchi-Takahashi’s fixed point theorem with new local constraints,” Fixed Point Theory and Applications, vol. 2014, no. 1, pp. 31, 2014. View at Publisher · View at Google Scholar
  • Abdul Latif, and Dinh The Luc, “A General Fixed Point Theorem for Multivalued Mappings That Are Not Necessarily Contractions and Applications,” Abstract and Applied Analysis, vol. 2014, pp. 1–5, 2014. View at Publisher · View at Google Scholar
  • Antonio Francisco Roldán López de Hierro, and Naseer Shahzad, “New fixed point theorem under R-contractions,” Fixed Point Theory and Applications, vol. 2015, no. 1, 2015. View at Publisher · View at Google Scholar
  • Bessem Samet, “Best proximity point results in partially ordered metric spaces via simulation functions,” Fixed Point Theory and Applications, vol. 2015, no. 1, 2015. View at Publisher · View at Google Scholar
  • Antonio-Francisco Roldán-López-de-Hierro, and Naseer Shahzad, “Common fixed point theorems under ( R , S ) $(R,\mathcal {S})$ -contractivity conditions,” Fixed Point Theory and Applications, vol. 2016, no. 1, 2016. View at Publisher · View at Google Scholar
  • N. Hussain, I. Iqbal, Badriah A. S. Alamri, and M. A. Kutbi, “Fixed Point Theorems for Manageable Contractions with Application to Integral Equations,” Journal of Function Spaces, vol. 2017, pp. 1–10, 2017. View at Publisher · View at Google Scholar