A general hybrid relaxed CQ algorithm for solving the fixed-point problem and split-feasibility problem

被引：0
|
作者：
Wang, Yuanheng [1 ]
Huang, Bin [1 ]
Jiang, Bingnan [1 ]
Xu, Tiantian [1 ]
Wang, Ke [1 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 10期
基金：
中国国家自然科学基金;
关键词：
inertial iterative method; demicontractive mapping; fixed point; hybrid CQ method; split-feasibility problem; ITERATIVE ALGORITHMS; PROJECTION METHOD; SETS;
D O I：
10.3934/math.20231239
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new hybrid relaxed iterative algorithm with two half-spaces to solve the fixed-point problem and split-feasibility problem involving demicontractive mappings. The strong convergence of the iterative sequence produced by our algorithm is proved under certain weak conditions. We give several numerical experiments to demonstrate the efficiency of the proposed iterative method in comparison with previous algorithms.
引用
收藏
页码：24310 / 24330
页数：21
相关论文
共 50 条
  • [31] General Method for Solving the Split Common Fixed Point Problem
    Cegielski, Andrzej
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 165 (02) : 385 - 404
  • [32] PARALLEL ITERATIVE ALGORITHM FOR SOLVING THE MULTIPLE-SET SPLIT COMMON FIXED-POINT PROBLEM
    Zhao, Jing
    Hou, Dingfang
    Zong, Haili
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (11) : 2007 - 2019
  • [33] Self-adaptive relaxed CQ algorithms for solving split feasibility problem with multiple output sets
    Xiaolei Tong
    Tong Ling
    Luoyi Shi
    Journal of Applied Mathematics and Computing, 2024, 70 : 1441 - 1469
  • [34] A relaxed self-adaptive CQ algorithm for the multiple-sets split feasibility problem
    He, Songnian
    Zhao, Ziyi
    Luo, Biao
    OPTIMIZATION, 2015, 64 (09) : 1907 - 1918
  • [35] SELF ADAPTIVE INERTIAL RELAXED CQ ALGORITHMS FOR SOLVING SPLIT FEASIBILITY PROBLEM WITH MULTIPLE OUTPUT SETS
    Taddele, Guash Haile
    Kumam, Poom
    Rehman, Habib Ur
    Gebrie, Anteneh Getachew
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2023, 19 (01) : 1 - 29
  • [36] Self-adaptive relaxed CQ algorithms for solving split feasibility problem with multiple output sets
    Tong, Xiaolei
    Ling, Tong
    Shi, Luoyi
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (02) : 1441 - 1469
  • [37] A fixed point method for solving a split feasibility problem in Hilbert spaces
    Xiaolong Qin
    Lin Wang
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 315 - 325
  • [38] A fixed point method for solving a split feasibility problem in Hilbert spaces
    Qin, Xiaolong
    Wang, Lin
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (01) : 315 - 325
  • [39] VISCOSITY APPROXIMATION OF A RELAXED ALTERNATING CQ ALGORITHM FOR THE SPLIT EQUALITY PROBLEM
    Zhang, Xuelin
    Zhang, Yuanqin
    Wang, Yaqin
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2022, 2022
  • [40] Pre-conditioning CQ algorithm for solving the split feasibility problem and its application to image restoration problem
    Altiparmak, Ebru
    Jolaoso, Lateef Olakunle
    Karahan, Ibrahim
    Rehman, Habib ur
    OPTIMIZATION, 2024,
12345