Iterative Regularization Methods for the Multiple-Sets Split Feasibility Problem in Hilbert Spaces

被引：0
|
作者：
Nguyen Buong
Pham Thi Thu Hoai
Khuat Thi Binh
机构：
[1] Duy Tan University,Vietnam Academy of Science and Technology
[2] Institute of Information Technology,undefined
[3] Vietnam Maritime University,undefined
[4] Banking Academy,undefined
来源：
Acta Applicandae Mathematicae | 2020年 / 165卷
关键词：
Nonexpansive mapping; Fixed point; Variational inequality; 47J05; 47H09; 49J30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce iterative regularization methods for solving the multiple-sets split feasibility problem, that is to find a point closest to a family of closed convex subsets in one space such that its image under a bounded linear mapping will be closest to another family of closed convex subsets in the image space. We consider the cases, when the families are either finite or infinite. We also give two numerical examples for illustrating our main method.
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页码：183 / 197
页数：14
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