Iterative process for solving a multiple-set split feasibility problem

被引：0
作者：
Yazheng Dang
Zhonghui Xue
机构：
[1] University of Shanghai for Science and Technology,School of Management
[2] Henan Polytechnic University,College of Computer Science and Technology
[3] Henan Polytechnic University,School of Physics and Chemistry
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
multiple-set split feasibility problem; subgradient; accelerated iterative algorithm; convergence; 47H05; 47J05; 47J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with a variant relaxed CQ algorithm by using a new searching direction, which is not the gradient of a corresponding function. The strategy is to intend to improve the convergence. Its convergence is proved under some suitable conditions. Numerical results illustrate that our variant relaxed CQ algorithm converges more quickly than the existing algorithms.
引用
收藏
相关论文
共 50 条
  • [41] A new simultaneous iterative method with a parameter for solving the extended split equality problem and the extended split equality fixed point problem
    Che, Haitao
    Chen, Haibin
    Li, Meixia
    NUMERICAL ALGORITHMS, 2018, 79 (04) : 1231 - 1256
  • [42] Adaptively relaxed algorithms for solving the split feasibility problem with a new step size
    Haiyun Zhou
    Peiyuan Wang
    Journal of Inequalities and Applications, 2014
  • [43] Adaptively relaxed algorithms for solving the split feasibility problem with a new step size
    Zhou, Haiyun
    Wang, Peiyuan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [44] New generalized variable stepsizes of the CQ algorithm for solving the split feasibility problem
    Wang, Peiyuan
    Zhou, Jianjun
    Wang, Risheng
    Chen, Jie
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [45] The inertial relaxed algorithm with Armijo-type line search for solving multiple-sets split feasibility problem
    Wenting Chen
    Meixia Li
    Journal of Inequalities and Applications, 2021
  • [46] The inertial relaxed algorithm with Armijo-type line search for solving multiple-sets split feasibility problem
    Chen, Wenting
    Li, Meixia
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [47] Nonlinear iterative methods for solving the split common null point problem in Banach spaces
    Suantai, Suthep
    Shehu, Yekini
    Cholamjiak, Prasit
    OPTIMIZATION METHODS & SOFTWARE, 2019, 34 (04) : 853 - 874
  • [48] "Optimal" choice of the step length of the projection and contraction methods for solving the split feasibility problem
    Dong, Q. L.
    Tang, Y. C.
    Cho, Y. J.
    Rassias, Th. M.
    JOURNAL OF GLOBAL OPTIMIZATION, 2018, 71 (02) : 341 - 360
  • [49] Parallel iterative methods for solving the generalized split common null point problem in Hilbert spaces
    Reich, Simeon
    Truong Minh Tuyen
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (04)
  • [50] Several iterative algorithms for solving the split common fixed point problem of directed operators with applications
    Tang, Yu-Chao
    Liu, Li-Wei
    OPTIMIZATION, 2016, 65 (01) : 53 - 65
12345