SEVERAL SELF-ADAPTIVE ALGORITHMS FOR SOLVING SPLIT COMMON FIXED POINT PROBLEMS WITH MULTIPLE OUTPUT SETS

被引:0
|
作者
Sun, Wenlong [1 ,2 ,3 ]
Jin, Yuanfeng [2 ]
Yin, Tzu-Chien [4 ]
机构
[1] ShenYang Univ Technol, Sch Sci, Dept Math, Shenyang 110870, Peoples R China
[2] Yanbian Univ, Dept Math, Yanji 133001, Peoples R China
[3] Shenyang Univ Technol, Liaoning Prov Key Lab Composite Met Nanomat & Mag, Shenyang 110870, Liaoning, Peoples R China
[4] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan
基金
中国国家自然科学基金;
关键词
split common fixed point; multiple output sets; self-adaptive algorithm; demicontractive operator; APPROXIMATING SOLUTIONS; ITERATIVE ALGORITHMS; PROJECTION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we study split common fixed point problems with multiple output sets in real Hilbert spaces. In order to solve this problem, we present three new self-adaptive algorithms. We establish weak and strong convergence theorems for them. Using our methods, we can remove the assumptions imposed on the norms of the transfer operators.
引用
收藏
页码:3 / 12
页数:10
相关论文
共 50 条
  • [21] SELF-ADAPTIVE ALGORITHMS FOR SOLVING FIXED POINT PROBLEMS OF PSEUDOCONTRACTIVE OPERATORS
    Chao, Yang
    Liou, Yeong-Cheng
    Zheng, Lu
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2023, 85 (04): : 47 - 54
  • [22] SELF-ADAPTIVE ALGORITHMS FOR SOLVING FIXED POINT PROBLEMS OF PSEUDOCONTRACTIVE OPERATORS
    Chao, Yang
    Liou, Yeong-Cheng
    Zheng, Lu
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2023, 85 (04): : 47 - 54
  • [23] An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes
    Cui, Huanhuan
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2023, 44 (15-16) : 1669 - 1683
  • [24] TWO SELF-ADAPTIVE CQ ALGORITHMS FOR THE SPLIT FEASIBILITY PROBLEM WITH MULTIPLE OUTPUT SETS
    Zhang, Yaxuan
    Qin, Liqian
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2024, 2024 : 1 - 19
  • [25] SELF-ADAPTIVE ITERATIVE ALGORITHMS FOR THE SPLIT COMMON FIXED POINT PROBLEM WITH DEMICONTRACTIVE OPERATORS
    Wang, Aihong
    Zhao, Jing
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (04): : 573 - 587
  • [26] New inertial self-adaptive algorithms for the split feasibility problem with multiple output sets
    Nazari, Esmaeil
    COMPUTATIONAL & APPLIED MATHEMATICS, 2025, 44 (01):
  • [27] SELF-ADAPTIVE PROJECTION ALGORITHMS FOR SOLVING THE SPLIT EQUALITY PROBLEMS
    Dong, Qiao-Li
    He, Songnian
    FIXED POINT THEORY, 2017, 18 (01): : 191 - 202
  • [28] A NEW INERTIAL SELF-ADAPTIVE ALGORITHM FOR SPLIT COMMON FIXED-POINT PROBLEMS
    Zhao, Jing
    Li, Yuan
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (01): : 43 - 57
  • [29] SELF-ADAPTIVE STEP-SIZES CHOICE FOR SPLIT COMMON FIXED POINT PROBLEMS
    Yao, Yonghong
    Qin, Xiaolong
    Yao, Jen-Chih
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (11) : 1959 - 1969
  • [30] Two Iterative Algorithms for Solving the Split Common Fixed Point Problems
    Wu, Dingping
    Postolache, Mihai
    FILOMAT, 2020, 34 (13) : 4375 - 4386