New strong convergence theorems for split variational inclusion problems in Hilbert spaces

被引：1
|
作者：
Chuang, Chih-Sheng [1 ,2 ]
Lin, Ing-Jer [2 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[2] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 824, Taiwan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
关键词：
split variational inclusion problem; maximal monotone mapping; split feasibility problem; resolvent mapping; conjugate gradient method; MAPPINGS;
D O I：
10.1186/s13660-015-0697-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The split variational inclusion problem is an important problem, and it is a generalization of the split feasibility problem. In this paper, we present a descent-conjugate gradient algorithm for the split variational inclusion problems in Hilbert spaces. Next, a strong convergence theorem of the proposed algorithm is proved under suitable conditions. As an application, we give a new strong convergence theorem for the split feasibility problem in Hilbert spaces. Finally, we give numerical results for split variational inclusion problems to demonstrate the efficiency of the proposed algorithm.
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收藏
页数：20
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