REFLECTED SELF-ADAPTIVE ALGORITHMS FOR THE SPLIT VARIATIONAL INCLUSION PROBLEMS WITH APPLICATIONS

被引：0

作者：

Chuang, Chih-Sheng ^{[1
]}

机构：

[1] Natl Chiayi Univ, Dept Appl Math, Chiayi, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 07期

关键词：

Split variational inclusion problem; reflected algorithm; self-adaptive algorithm; split equality problem; CONVEX FEASIBILITY; ITERATIVE METHOD; PRIOR KNOWLEDGE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present the reflected self-adaptive algorithms to study the split variational inclusion problems in real Hilbert spaces. Further, we prove that the proposed algorithms converge weakly to an element of the solution set of the split variational inclusion problem under suitable conditions. Next, we study the split feasibility problem, convex linear inverse problem, and the split equality problem as applications.

引用

页码：1373 / 1388

页数：16

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