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

被引：4

作者：

Chang, Shih-sen ^{[1
]}

Wang, Lin ^{[1
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

general split variational inclusion problem; split feasibility problem; split optimization problem; quasi-nonexpansive mapping; zero point; resolvent mapping; PROXIMAL POINT ALGORITHM; CQ-ALGORITHM; FEASIBILITY; SETS;

D O I：

10.1186/1687-1812-2014-171

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to introduce and study a general split variational inclusion problem in the setting of infinite-dimensional Hilbert spaces. Under suitable conditions, we prove that the sequence generated by the proposed new algorithm converges strongly to a solution of the general split variational inclusion problem. As a particular case, we consider the algorithms for a split feasibility problem and a split optimization problem and give some strong convergence theorems for these problems in Hilbert spaces.

引用

页数：14

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