A von Neumann alternating method for finding common solutions to variational inequalities

被引：33

作者：

Censor, Yair ^{[2
]}

Gibali, Aviv ^{[1
]}

Reich, Simeon ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Technion, Haifa, Israel

[2] Univ Haifa, Dept Math, IL-31905 Haifa, Israel

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 12期

基金：

以色列科学基金会;

关键词：

Alternating method; Averaged operator; Fixed point; Hilbert space; Inverse strongly monotone operator; Metric projection; Nonexpansive operator; Resolvent; Variational inequality; NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE;

D O I：

10.1016/j.na.2012.01.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By modifying von Neumann's alternating projections algorithm, we obtain an alternating method for solving the recently introduced Common Solutions to Variational Inequalities Problem (CSVIP). For simplicity, we mainly confine our attention to the two-set CSVIP, which entails finding common solutions to two unrelated variational inequalities in Hilbert space. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：4596 / 4603

页数：8

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