Generalized gap functions and error bounds for generalized variational inequalities

被引：0

作者：

Hu, Yan-hong ^{[1
,2
]}

Song, Wen ^{[1
,2
]}

机构：

[1] Harbin Normal Univ, Dept Math, Harbin 150080, Peoples R China

[2] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 03期

基金：

黑龙江省自然科学基金; 中国国家自然科学基金;

关键词：

variational inequality; gap functions; error bounds; MERIT FUNCTIONS;

D O I：

10.1007/s10483-009-0305-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider some classes of generalized gap functions for two kinds of generalized variational inequality problems. We obtain error bounds for the underlying variational inequalities using the generalized gap functions under the condition that the involved mapping F is g-strongly monotone with respect to the solution, but not necessarily continuous differentiable, even not locally Lipschitz.

引用

页码：313 / 321

页数：9

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