A modified Korpelevich's method convergent to the minimum-norm solution of a variational inequality

被引：74

作者：

Yao, Yonghong ^{[1
]}

Marino, Giuseppe ^{[2
]}

Muglia, Luigi ^{[2
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

[2] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy

来源：

OPTIMIZATION | 2014年 / 63卷 / 04期

关键词：

Korpelevich's method; metric projection; minimum-norm; variational inequality; NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; WEAK-CONVERGENCE; HILBERT-SPACE; THEOREMS;

D O I：

10.1080/02331934.2012.674947

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this article, we propose a modified Korpelevich's method for solving variational inequalities. Under some mild assumptions, we show that the suggested method converges strongly to the minimum-norm solution of some variational inequality in an infinite-dimensional Hilbert space.

引用

页码：559 / 569

页数：11

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