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

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作者
Chih-Sheng Chuang
机构
[1] National Sun Yat-sen University,Department of Applied Mathematics
关键词
zero point; split feasibility problem; resolvent mapping; optimization problem;
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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.
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