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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 140679, 13 pages
http://dx.doi.org/10.1155/2012/140679
Research Article

Regularized Methods for the Split Feasibility Problem

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
2School of Computer Science and Software, Tianjin Polytechnic University, Tianjin 300387, China
3Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan

Received 2 December 2011; Accepted 11 December 2011

Academic Editor: Khalida Inayat Noor

Copyright © 2012 Yonghong Yao 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 [18 citations]

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

  • Yonghong Yao, Yeong-Cheng Liou, and Naseer Shahzad, “A Strongly Convergent Method for the Split Feasibility Problem,” Abstract and Applied Analysis, vol. 2012, pp. 1–15, 2012. View at Publisher · View at Google Scholar
  • Jing Zhao, and Songnian He, “Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings,” Journal of Applied Mathematics, vol. 2012, pp. 1–12, 2012. View at Publisher · View at Google Scholar
  • Cuijie Zhang, and Songnian He, “Strong Convergence Theorems for the Split Common Fixed Point Problem for Countable Family of Nonexpansive Operators,” Journal of Applied Mathematics, vol. 2012, pp. 1–11, 2012. View at Publisher · View at Google Scholar
  • Cuijie Zhang, “Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem,” Journal of Applied Mathematics, vol. 2012, pp. 1–13, 2012. View at Publisher · View at Google Scholar
  • Songnian He, and Wenlong Zhu, “A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem,” Journal of Applied Mathematics, vol. 2012, pp. 1–10, 2012. View at Publisher · View at Google Scholar
  • Yan-Lai Song, Hui-Ying Hu, Ya-Qin Wang, Lu-Chuan Zeng, and Chang-Song Hu, “Strong convergence of a new general iterative method for variational inequa lity problems in Hilbert spaces,” Fixed Point Theory and Applications, 2012. View at Publisher · View at Google Scholar
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  • Young-Ye Huang, and Chung-Chien Hong, “Approximating common fixed points of averaged self-mappings with applications to the split feasibility problem and maximal monotone operators in Hilbert spaces,” Fixed Point Theory and Applications, vol. 2013, no. 1, pp. 190, 2013. View at Publisher · View at Google Scholar
  • Yonghong Yao, and Yeong-Cheng Liou, “Strong convergence of a self-adaptive method for the split feasibility prob lem,” Fixed Point Theory And Applications, 2013. View at Publisher · View at Google Scholar
  • Yaqin Zheng, and Yeong-Cheng Liou, “The constrained multiple-sets split feasibility problem and its projection algorithms,” Journal Of Inequalities And Applications, pp. 1–10, 2013. View at Publisher · View at Google Scholar
  • Yeong-Cheng Liou, and Cun-lin Li, “A damped algorithm for the split feasibility and fixed point problems,” Journal Of Inequalities And Applications, 2013. View at Publisher · View at Google Scholar
  • Young-Ye Huang, and Chung-Chien Hong, “A Unified Iterative Treatment for Solutions of Problems of Split Feasibility and Equilibrium in Hilbert Spaces,” Abstract and Applied Analysis, vol. 2013, pp. 1–13, 2013. View at Publisher · View at Google Scholar
  • Mohammad Eslamian, and Abdul Latif, “General Split Feasibility Problems in Hilbert Spaces,” Abstract and Applied Analysis, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
  • Fengjun Guo, Shin Min Kang, and Young Chel Kwun, “An Implicit Algorithm for the Split Fixed Point and Convex Feasibility Problems,” Abstract and Applied Analysis, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Chung-Chien Hong, and Young-Ye Huang, “A Strong Convergence Algorithm for the Two-Operator Split Common Fixed Point Problem in Hilbert Spaces,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Youli Yu, Shin Min Kang, and Young Chel Kwun, “Relaxed Extragradient Algorithms for the Split Feasibility Problem,” Journal of Applied Mathematics, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Zhangsong Yao, Sun Young Cho, Shin Min Kang, and Li-Jun Zhu, “A Regularized Algorithm for the Proximal Split Feasibility Problem,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Zhangsong Yao, Arif Rafiq, Shin Min Kang, and Li-Jun Zhu, “Iterative Algorithms for the Split Problem and Its Convergence Analysis,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar