Perturbation Resilience of Self-Adaptive Step-Size Algorithms for Solving Split Variational Inclusion Problems and their Applications

被引：0
|
作者：
Tang, Yan [1 ,2 ]
Ji, Zhihui [1 ,2 ,3 ]
机构：
[1] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing, Peoples R China
[2] Chongqing Key Lab Social Econ & Appl Stat, Chongqing, Peoples R China
[3] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 13期
关键词：
Inertial technique; self-adaptive technology; split variational inclusion problems; superiorization method; MAXIMAL MONOTONE-OPERATORS; PROXIMAL POINT ALGORITHM; STRONG-CONVERGENCE; COMMON SOLUTIONS; FIXED-POINTS; PROJECTION; SETS;
D O I：
10.1080/01630563.2023.2247615
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, two viscosity proximal type algorithms involving the superiorization method are presented for solving the split variational inclusion problems in real Hilbert spaces. Strong convergence theorems and bounded perturbation resilience analysis of the proposed algorithms are obtained under mild conditions. The split feasibility problems, the split minimization problems, and the variational inequality problems are concerned as the applications, and several numerical experiments are performed to show the efficiency and implementation of the proposed algorithms.
引用
收藏
页码：1343 / 1370
页数：28
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