Strong convergence theorem of two-step iterative algorithm for split feasibility problems

被引:2
|
作者
Tang, Jinfang [1 ]
Chang, Shih-sen [2 ]
机构
[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
[2] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China
基金
中国国家自然科学基金;
关键词
split feasibility problem; two-step iterative algorithm; strong convergence; bounded linear operator; VARIATIONAL-INEQUALITIES; BANACH-SPACES; CQ-ALGORITHM; PROJECTION; HILBERT;
D O I
10.1186/1029-242X-2014-280
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main purpose of this paper is to introduce a two-step iterative algorithm for split feasibility problems such that the strong convergence is guaranteed. Our result extends and improves the corresponding results of He et al. and some others.
引用
收藏
页数:13
相关论文
共 50 条
  • [21] CONVERGENCE RATE OF THE CQ ALGORITHM FOR SPLIT FEASIBILITY PROBLEMS
    Chen, Peipei
    He, Hongjin
    Liou, Yeong-Cheng
    Wen, Ching-Feng
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (03) : 381 - 395
  • [22] Strong Convergence Result of Split Feasibility Problems in Banach Spaces
    Shehu, Yekini
    FILOMAT, 2017, 31 (06) : 1559 - 1571
  • [23] Strong convergence of a relaxed CQ algorithm for the split feasibility problem
    Songnian He
    Ziyi Zhao
    Journal of Inequalities and Applications, 2013 (1)
  • [24] Strong convergence of a relaxed CQ algorithm for the split feasibility problem
    He, Songnian
    Zhao, Ziyi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [25] STRONG CONVERGENCE OF A SHRINKING PROJECTION ALGORITHM FOR A SPLIT FEASIBILITY PROBLEM
    Dadashi, Vahid
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2018, Mathematical Research Press (2018):
  • [26] STRONG CONVERGENCE THEOREM FOR NEW FOUR-STEP ITERATIVE METHOD
    Gugnani, Meenakshi
    Batra, Charu
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2024,
  • [27] STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR THE SPLIT EQUALITY PROBLEM IN BANACH SPACES
    Wang, Meiying
    Xu, Tongxin
    Shi, Luoyi
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2022, 2022
  • [28] STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR THE SPLIT EQUALITY PROBLEM IN BANACH SPACES
    Wang, Meiying
    Xu, Tongxin
    Shi, Luoyi
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2022, 2022
  • [29] Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
    Yuchao Tang
    Liwei Liu
    Journal of Inequalities and Applications, 2016
  • [30] STRONG CONVERGENCE OF A CYCLIC ITERATIVE ALGORITHM FOR SPLIT COMMON FIXED-POINT PROBLEMS OF DEMICONTRACTIVE MAPPINGS
    Wang, Jiayan
    Wang, Yaqin
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2018, 2 (03): : 295 - 303