Strong convergence theorems for the split variational inclusion problem in Hilbert spaces

被引：55

作者：

Chuang, Chih-Sheng ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

zero point; split feasibility problem; resolvent mapping; optimization problem; NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHMS; MONOTONE-OPERATORS; CQ ALGORITHM; FIXED-POINTS; PROJECTION;

D O I：

10.1186/1687-1812-2013-350

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first consider a split variational inclusion problem and give several strong convergence theorems in Hilbert spaces, like the Halpern-Mann type iteration method and the regularized iteration method. As applications, we consider the algorithms for a split feasibility problem and a split optimization problem and give strong convergence theorems for these problems in Hilbert spaces. Our results for the split feasibility problem improve the related results in the literature.

引用

页数：20

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