Alternated multi-step inertial iterative algorithm for solving the split feasibility problem in Hilbert spaces

被引：0
|
作者：
Wang, Meiying [1 ]
Liu, Hongwei [1 ]
Yang, Jun [2 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian 710126, Shaanxi, Peoples R China
[2] Xianyang Normal Univ, Sch Math & Stat, Xianyang 712000, Shaanxi, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2025年 / 44卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Split feasibility problem; Multi-step inertial algorithm; Strong convergence; Signal recovery; STRONG-CONVERGENCE;
D O I：
10.1007/s40314-024-02960-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose an alternated multi-step inertial iterative algorithm for solving the split feasibility problem involving two bounded linear operators in Hilbert spaces. The proposed algorithm adopts self-adaptive step size and the step size is bounded away from zero. Under some mild conditions, the strong convergence of the sequence generated by the proposed algorithm is established. Finally, the numerical experiments are presented to verify the effectiveness and superiority of our proposed algorithm. Our results are innovative and can be an enrichment to the recently published results in the literature.
引用
收藏
页数：19
相关论文
共 50 条
12345