Two new self-adaptive algorithms for solving the split feasibility problem in Hilbert space

被引：7
|
作者：
Reich, Simeon [1 ]
Tuyen, Truong [2 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
[2] Thai Nguyen Univ Sci, Dept Math & Informat, Tan Thinh, Thai Nguyen, Vietnam
来源：
NUMERICAL ALGORITHMS | 2024年 / 95卷 / 02期
基金：
以色列科学基金会;
关键词：
Hilbert space; Metric projection; Split feasibility problem; NULL POINT PROBLEM; SHRINKING PROJECTION METHOD; STRONG-CONVERGENCE THEOREM; SETS;
D O I：
10.1007/s11075-023-01597-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce two new self-adaptive algorithms for solving the split feasibility problem with multiple output sets in Hilbert space. Our algorithms do not use the least squares method, and their step sizes do not depend on the norms of the transfer mappings. Furthermore, two relaxed iterative algorithms are introduced when the feasibility sets are sublevel sets of convex functions.
引用
收藏
页码：1011 / 1032
页数：22
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