New inertial self-adaptive algorithms for the split feasibility problem with multiple output sets

被引:0
|
作者
Nazari, Esmaeil [1 ]
机构
[1] Tafresh Univ, Dept Math, Tafresh 3951879611, Iran
来源
COMPUTATIONAL & APPLIED MATHEMATICS | 2025年 / 44卷 / 01期
关键词
Generalized demimetric mapping; Inertial self-adaptive algorithm; Split common fixed point problem; FIXED-POINT PROBLEM; ITERATIVE METHOD;
D O I
10.1007/s40314-024-03011-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we study the split common fixed point problem with multiple output sets for two finite families of generalized demimetric mappings in Hilbert space. In order to solve this problem, we suggest a new inertial self-adaptive algorithm and establish a strong convergence theorem for it under relevant conditions. We also provide a numerical example to support our main result.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] Self-adaptive algorithms for solving split feasibility problem with multiple output sets
    Guash Haile Taddele
    Poom Kumam
    Pongsakorn Sunthrayuth
    Anteneh Getachew Gebrie
    Numerical Algorithms, 2023, 92 : 1335 - 1366
  • [2] Self-adaptive algorithms for solving split feasibility problem with multiple output sets
    Taddele, Guash Haile
    Kumam, Poom
    Sunthrayuth, Pongsakorn
    Gebrie, Anteneh Getachew
    NUMERICAL ALGORITHMS, 2023, 92 (02) : 1335 - 1366
  • [3] 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
  • [4] 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
  • [5] 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
  • [6] A SELF-ADAPTIVE INERTIAL VISCOSITY PROJECTION ALGORITHM FOR SOLVING SPLIT FEASIBILITY PROBLEM WITH MULTIPLE OUTPUT SETS
    Dang, Yazheng
    Hou, Caihua
    Liu, Yang
    PACIFIC JOURNAL OF OPTIMIZATION, 2023, 19 (04): : 715 - 733
  • [7] 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
  • [8] Relaxed inertial self-adaptive algorithm for the split feasibility problem with multiple output sets and fixed-point problem in the class of demicontractive mappings
    Gebregiorgis, Solomon
    Kumam, Poom
    Sitthithakerngkiet, Kanokwan
    FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2024, 2024 (01):
  • [9] Self-adaptive projection methods for the multiple-sets split feasibility problem
    Zhao, Jinling
    Yang, Qingzhi
    INVERSE PROBLEMS, 2011, 27 (03)
  • [10] Two new self-adaptive algorithms for solving the split common null point problem with multiple output sets in Hilbert spaces
    Simeon Reich
    Truong Minh Tuyen
    Journal of Fixed Point Theory and Applications, 2021, 23