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

被引：0
|
作者：
Chih-Sheng Chuang
Ing-Jer Lin
机构：
[1] National Sun Yat-sen University,Department of Applied Mathematics
[2] National Kaohsiung Normal University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
split variational inclusion problem; maximal monotone mapping; split feasibility problem; resolvent mapping; conjugate gradient method;
D O I：
暂无
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学科分类号：
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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