Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space

被引：326
|
作者：
Censor, Yair [1 ]
Gibali, Aviv [2 ]
Reich, Simeon [2 ]
机构：
[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel
[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
OPTIMIZATION METHODS & SOFTWARE | 2011年 / 26卷 / 4-5期
基金：
以色列科学基金会;
关键词：
extragradient method; Hilbert space; projection algorithm; subgradient; variational inequality; NONEXPANSIVE-MAPPINGS; PROJECTION ALGORITHMS; APPROXIMATIONS; OPTIMIZATION;
D O I：
10.1080/10556788.2010.551536
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We study two projection algorithms for solving the variational inequality problem in Hilbert space. One algorithm is a modified subgradient extragradient method in which an additional projection onto the intersection of two half-spaces is employed. Another algorithm is based on the shrinking projection method. We establish strong convergence theorems for both algorithms.
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页码：827 / 845
页数：19
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