The split feasibility problem with multiple output sets in Hilbert spaces

被引：78

作者：

Reich, Simeon ^{[1
]}

Minh Tuyen Truong ^{[2
]}

Thi Ngoc Ha Mai ^{[3
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Thai Nguyen Univ Sci, Dept Math & Informat, Thai Nguyen, Vietnam

[3] Thai Nguyen Univ Agr & Forestry, Thai Nguyen, Vietnam

来源：

OPTIMIZATION LETTERS | 2020年 / 14卷 / 08期

基金：

以色列科学基金会;

关键词：

Hilbert space; Metric projection; Nonexpansive mapping; Split feasibility problem; SHRINKING PROJECTION METHOD; NULL POINT PROBLEM; STRONG-CONVERGENCE; ALGORITHMS;

D O I：

10.1007/s11590-020-01555-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study the split feasibility problem with multiple output sets in Hilbert spaces. In order to solve this problem, we propose two new algorithms. We establish a weak convergence theorem for the first one and a strong convergence theorem for the second.

引用

页码：2335 / 2353

页数：19

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