A parallel method for variational inequalities with the multiple-sets split feasibility problem constraints

被引：10

作者：

Tran Viet Anh ^{[1
]}

机构：

[1] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Hanoi, Vietnam

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 04期

关键词：

Multiple-sets split feasibility problem; variational inequality; parallel method; minimum-norm solution; MODULATED RADIATION-THERAPY; OPERATORS;

D O I：

10.1007/s11784-017-0452-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a parallel method for solving a strongly variational inequality over the multiple-sets split feasibility problem. Strong convergence of the iterative process is proved. As a consequence, we get a strongly convergent algorithm for finding the minimum-norm solution of the multiple-sets split feasibility problem. A simple numerical example is given to illustrate the proposed parallel algorithm.

引用

页码：2681 / 2696

页数：16

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