A new strong convergence for solving split variational inclusion problems

被引：14

作者：

Thong, Duong Viet ^{[1
]}

Dung, Vu Tien ^{[2
]}

Cho, Yeol Je ^{[3
,4
]}

机构：

[1] Ton Duc Thang Univ, Appl Anal Res Grp, Fac Math & Stat, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Dept Math, 334 Nguyen Trai, Hanoi, Vietnam

[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea

[4] China Med Univ, Ctr Gen Educ, Taichung 40404, Taiwan

来源：

NUMERICAL ALGORITHMS | 2021年 / 86卷 / 02期

关键词：

Inertial method; Contraction method; Split feasibility problem; Signal recovery; 47; J20; J25; INERTIAL PROXIMAL ALGORITHM; MAXIMAL MONOTONE-OPERATORS; NULL POINT PROBLEM; CONTRACTION METHODS; GRADIENT-METHOD; HILBERT-SPACES; PROJECTION; FEASIBILITY; MINIMIZATION; SETS;

D O I：

10.1007/s11075-020-00901-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to propose an algorithm for finding an approximate solution of a split variational inclusion problem for monotone operators. By using inertial method, we get a new and simple algorithm for such a problem. Under standard assumptions, we study the strong convergence theorem of the proposed algorithm. As application, we study the split feasibility problem in real Hilbert spaces. Finally, for supporting the convergence of the proposed algorithm, we also consider several preliminary numerical experiments for solving signal recovery by compressed sensing.

引用

页码：565 / 591

页数：27

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