Some remarks on the paper “Strong convergence of a self-adaptive method for the spilt feasibility problem-

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• 作者：Haiyun Zhou ; Peiyuan Wang
• 关键词：Split feasibility problem ; Self ; adaptive method ; Strong convergence ; Contraction ; Variational inequality
• 刊名：Numerical Algorithms
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：70
• 期：2
• 页码：333-339
• 全文大小：196 KB
• 参考文献：1.Censor, Y., Elfving, T.: A multiprojection algorithm using Bregman projection in a product space. Numer. Algorithms 8, 221-39 (1994)MathSciNet CrossRef
  2.Censor, Y., Bortfeld, T., Martin, B., Trofimov, A.: A unified approach for inversion problems in intensity-modulated radiation therapy. Phys. Med. Biol. 51, 2353-365 (2006)CrossRef
  3.Bauschhe, H.H., Borwein, J.M.: On projection algorithms for solving convex feasibility problems. SIAM Rev. 38, 367-26 (1996)MathSciNet CrossRef
  4.Byrne, C.: Iterative oblique projection onto convex subsets and the split feasibility problem. Inverse Probl. 18, 441-53 (2002)MathSciNet CrossRef
  5.Byrne, C.: A unified treatment of some iterative algorithms in signal processing and image reconstruction. Inverse Probl. 20, 103-20 (2004)MathSciNet CrossRef
  6.Dang, Y., Gao, Y.: The strong convergence of a KM-CQ-algorithm for a split feasibility problem, Inverse Probl. (2011). ID: 015007
  7.Zhao, J., Yang, Q. Self-adaptive projection methods for the multiple-sets split feasibility problem, Inverse Probl. (2011). ID:035009
  8.Zhang, W., Han, D., Li, Z. A self-adaptive projection method for solving the multiple-sets split feasibility problem, Inverse Probl. (2009). ID:115001
  9.Yao, Y.H., Postolache, M., Liou, Y.C.: Strong convergence of a self-adaptive method for the split feasibility problem. Fixed Point Theory and Applications (2013). doi:10.-186/-687-1812-2013-201
  
• 作者单位：Haiyun Zhou (1) (2)
  Peiyuan Wang (1) (3)
  
  1. Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, China
  2. Department of Mathematics and Information, Hebei Normal University, Shijiazhuang, 050016, China
  3. The Sixth Regiment, Naval Aviation Institution, Huludao, 125001, China
  
• 刊物类别：Computer Science
• 刊物主题：Numeric Computing
  Algorithms
  Mathematics
  Algebra
  Theory of Computation
  
• 出版者：Springer U.S.
• ISSN：1572-9265

文摘

In this paper, we present several remarks on the paper by Yao et al. (citeyearcite.nine). The results presented in the present paper are interesting improvements on the main results of Yao et al. Keywords Split feasibility problem Self-adaptive method Strong convergence Contraction Variational inequality