New Self-Adaptive Algorithms and Inertial Self-Adaptive Algorithms for the Split Variational Inclusion Problems in Hilbert Space

被引：3
|
作者：
Chuang, Chih-Sheng [1 ]
Hong, Chung-Chien [2 ]
机构：
[1] Natl Chiayi Univ, Dept Appl Math, Chiayi, Taiwan
[2] Natl Pingtung Univ Sci & Technol, Dept Ind Management, Pingtung, Taiwan
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2022年 / 43卷 / 09期
关键词：
Self-adaptive algorithm; inertial algorithm; inertial self-adaptive algorithm; split feasibility problem; split variational inclusion problem; MAXIMAL MONOTONE-OPERATORS; ITERATIVE METHOD; PRIOR KNOWLEDGE; CONVERGENCE; SETS; PROJECTION; THEOREMS;
D O I：
10.1080/01630563.2022.2084753
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the field of convex optimization, numerous problems can be modeled as the split variational inclusion problem. In this paper, we want to give self-adaptive algorithms and inertial self-adaptive algorithms to study the split variational inclusion problems. Next, we propose related convergence theorems under suitable conditions.
引用
收藏
页码：1050 / 1068
页数：19
相关论文
共 50 条
  • [1] Two self-adaptive inertial projection algorithms for solving split variational inclusion problems
    Zhou, Zheng
    Tan, Bing
    Li, Songxiao
    [J]. AIMS MATHEMATICS, 2022, 7 (04): : 4960 - 4973
  • [2] REFLECTED SELF-ADAPTIVE ALGORITHMS FOR THE SPLIT VARIATIONAL INCLUSION PROBLEMS WITH APPLICATIONS
    Chuang, Chih-Sheng
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (07) : 1373 - 1388
  • [3] Strong Convergence of Self-adaptive Inertial Algorithms for Solving Split Variational Inclusion Problems with Applications
    Bing Tan
    Xiaolong Qin
    Jen-Chih Yao
    [J]. Journal of Scientific Computing, 2021, 87
  • [4] Strong Convergence of Self-adaptive Inertial Algorithms for Solving Split Variational Inclusion Problems with Applications
    Tan, Bing
    Qin, Xiaolong
    Yao, Jen-Chih
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2021, 87 (01)
  • [5] Self-adaptive inertial extragradient algorithms for solving variational inequality problems
    Tan, Bing
    Fan, Jingjing
    Li, Songxiao
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (01):
  • [6] Self-adaptive inertial extragradient algorithms for solving variational inequality problems
    Bing Tan
    Jingjing Fan
    Songxiao Li
    [J]. Computational and Applied Mathematics, 2021, 40
  • [7] New self-adaptive step size algorithms for solving split variational inclusion problems and its applications
    Tang, Yan
    Gibali, Aviv
    [J]. NUMERICAL ALGORITHMS, 2020, 83 (01) : 305 - 331
  • [8] New self-adaptive step size algorithms for solving split variational inclusion problems and its applications
    Yan Tang
    Aviv Gibali
    [J]. Numerical Algorithms, 2020, 83 : 305 - 331
  • [9] Two new self-adaptive algorithms for solving the split feasibility problem in Hilbert space
    Simeon Reich
    Truong Minh Tuyen
    [J]. Numerical Algorithms, 2024, 95 : 1011 - 1032
  • [10] Two new self-adaptive algorithms for solving the split feasibility problem in Hilbert space
    Reich, Simeon
    Tuyen, Truong
    [J]. NUMERICAL ALGORITHMS, 2024, 95 (02) : 1011 - 1032
12345