An improved method for solving multiple-sets split feasibility problem

被引:4
|
作者
Du, Yunfei [1 ]
Chen, Rudong [1 ]
机构
[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China
基金
中国国家自然科学基金;
关键词
multiple-sets split feasibility problem; convergence; PROJECTION; ALGORITHM; OPERATORS;
D O I
10.1186/1687-1812-2012-168
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The multiple-sets split feasibility problem (MSSFP) has a variety of applications in the real world such as medical care, image reconstruction and signal processing. Censor et al. proposed solving the MSSFP by a proximity function, and then developed a class of simultaneous methods for solving split feasibility. In our paper, we improve a simultaneous method for solving the MSSFP and prove its convergence.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] An improved method for solving multiple-sets split feasibility problem
    Yunfei Du
    Rudong Chen
    [J]. Fixed Point Theory and Applications, 2012
  • [2] A simple projection method for solving the multiple-sets split feasibility problem
    Zhao, Jinling
    Yang, Qingzhi
    [J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2013, 21 (03) : 537 - 546
  • [3] A hybrid projection method for solving the multiple-sets split feasibility problem
    Thuy Nguyen Thi Thu
    Nghia Nguyen Trung
    [J]. Computational and Applied Mathematics, 2023, 42
  • [4] A hybrid projection method for solving the multiple-sets split feasibility problem
    Thu, Thuy Nguyen Thi
    Trung, Nghia Nguyen
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (06):
  • [5] A Cyclic and Simultaneous Iterative Method for Solving the Multiple-Sets Split Feasibility Problem
    Wen, Meng
    Peng, Jigen
    Tang, Yuchao
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 166 (03) : 844 - 860
  • [6] A Cyclic and Simultaneous Iterative Method for Solving the Multiple-Sets Split Feasibility Problem
    Meng Wen
    Jigen Peng
    Yuchao Tang
    [J]. Journal of Optimization Theory and Applications, 2015, 166 : 844 - 860
  • [7] A self-adaptive projection method for solving the multiple-sets split feasibility problem
    Zhang, Wenxing
    Han, Deren
    Li, Zhibao
    [J]. INVERSE PROBLEMS, 2009, 25 (11)
  • [8] A SUCCESSIVE PROJECTION ALGORITHM FOR SOLVING THE MULTIPLE-SETS SPLIT FEASIBILITY PROBLEM
    Liu, Binghua
    Qu, Biao
    Zheng, Na
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (11) : 1459 - 1466
  • [9] Several acceleration schemes for solving the multiple-sets split feasibility problem
    Zhao, Jinling
    Yang, Qingzhi
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (07) : 1648 - 1657
  • [10] A Family of Projection Gradient Methods for Solving the Multiple-Sets Split Feasibility Problem
    Jinhua Wang
    Yaohua Hu
    Carisa Kwok Wai Yu
    Xiaojun Zhuang
    [J]. Journal of Optimization Theory and Applications, 2019, 183 : 520 - 534