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

被引：8
|
作者：
Nguyen Buong [1 ,2 ]
Pham Thi Thu Hoai [3 ]
Khuat Thi Binh [4 ]
机构：
[1] Duy Tan Univ, 13 Quang Trung, Da Nang, Vietnam
[2] Vietnam Acad Sci & Technol, Inst Informat Technol, 18 Hoang Quoc Viet, Hanoi, Vietnam
[3] Vietnam Maritime Univ, Hai Phong, Vietnam
[4] Banking Acad, Hanoi, Vietnam
来源：
ACTA APPLICANDAE MATHEMATICAE | 2020年 / 165卷 / 01期
关键词：
Nonexpansive mapping; Fixed point; Variational inequality; KRASNOSELSKII-MANN ALGORITHM; VARIATIONAL-INEQUALITIES; PROJECTION METHODS; STRONG-CONVERGENCE;
D O I：
10.1007/s10440-019-00249-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：183 / 197
页数：15
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