A New CQ Algorithm for Solving Split Feasibility Problems in Hilbert Spaces

被引：32
|
作者：
Nguyen The Vinh [1 ]
Cholamjiak, Prasit [2 ]
Suantai, Suthep [3 ]
机构：
[1] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Univ Phayao, Sch Sci, Phayao 56000, Thailand
[3] Chiang Mai Univ, Dept Math, Ctr Excellence Math & Appl Math, Chiang Mai 50200, Thailand
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 05期
关键词：
Split feasibility problem; Variational inequality; Gradient projection method; Weak convergence; Strong convergence; minimum-norm solution; ITERATIVE ALGORITHMS; SETS;
D O I：
10.1007/s40840-018-0614-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we propose a CQ-type algorithm for solving the split feasibility problem (SFP) in real Hilbert spaces. The algorithm is designed such that the step-sizes are directly computed at each iteration. We will show that the sequence generated by the proposed algorithm converges in norm to the minimum-norm solution of the SFP under appropriate conditions. In addition, we give some numerical examples to verify the implementation of our method. Our result improves and complements many known related results in the literature.
引用
收藏
页码：2517 / 2534
页数：18
相关论文
共 50 条
  • [31] General Split Feasibility Problems in Hilbert Spaces
    Eslamian, Mohammad
    Latif, Abdul
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [32] A new optimization approach to solving split equality problems in Hilbert spaces
    Reich, Simeon
    Tuyen, Truong Minh
    Ha, Nguyen Song
    JOURNAL OF GLOBAL OPTIMIZATION, 2024, 90 (01) : 127 - 151
  • [33] An inertial extrapolation method for solving generalized split feasibility problems in real hilbert spaces
    E. C. Godwin
    C. Izuchukwu
    O. T. Mewomo
    Bollettino dell'Unione Matematica Italiana, 2021, 14 : 379 - 401
  • [34] An inertial extrapolation method for solving generalized split feasibility problems in real hilbert spaces
    Godwin, E. C.
    Izuchukwu, C.
    Mewomo, O. T.
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2021, 14 (02): : 379 - 401
  • [35] An Improved Alternating CQ Algorithm for Solving Split Equality Problems
    He, Yan-Juan
    Zhu, Li-Jun
    Tan, Nan-Nan
    MATHEMATICS, 2021, 9 (24)
  • [36] An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces
    Shehu, Y.
    Iyiola, O. S.
    Enyi, C. D.
    NUMERICAL ALGORITHMS, 2016, 72 (04) : 835 - 864
  • [37] An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces
    Y. Shehu
    O. S. Iyiola
    C. D. Enyi
    Numerical Algorithms, 2016, 72 : 835 - 864
  • [38] Cyclic algorithms for split feasibility problems in Hilbert spaces
    Wang, Fenghui
    Xu, Hong-Kun
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (12) : 4105 - 4111
  • [39] Iterative algorithms for solving the split feasibility problem in Hilbert spaces
    Jing Zhao
    Haili Zong
    Journal of Fixed Point Theory and Applications, 2018, 20
  • [40] An optimization approach to solving the split feasibility problem in Hilbert spaces
    Reich, Simeon
    Tuyen, Truong Minh
    Ha, Mai Thi Ngoc
    JOURNAL OF GLOBAL OPTIMIZATION, 2021, 79 (04) : 837 - 852
12345