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.
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页数：14
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