Gap functions and global error bounds for set-valued variational inequalities

被引：18

作者：

Fan Jianghua ^{[1
]}

Wang Xiaoguo ^{[1
]}

机构：

[1] Guangxi Normal Univ, Guilin 541004, Guangxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 11期

关键词：

Set-valued variational inequality problem; Unconstrained optimization problem; Gap functions; Global error bounds; UNCONSTRAINED MINIMIZATION; MERIT FUNCTIONS;

D O I：

10.1016/j.cam.2009.11.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The set-valued variational inequality problem is very useful in economics theory and nonsmooth optimization. In this paper, we introduce some gap functions for set-valued variational inequality problems under suitable assumptions. By using these gap functions we derive global error bounds for the solution of the set-valued variational inequality problems. Our results not only generalize the previously known results for classical variational inequalities from single-valued case to set-valued, but also present a way to constructgap functions and derive global error bounds forset-valued variational inequality problems. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2956 / 2965

页数：10

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