Equivalent Optimization Formulations and Error Bounds for Variational Inequality Problems

被引：0
|
作者：
L.R. Huang
K. F. Ng
机构：
[1] South China Normal University,Professor, Department of Mathematics
[2] Chinese University of Hong Kong,Professor, Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2005年 / 125卷
关键词：
Variational inequality problems; descent methods; optimization problems; error bounds;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate whether some merit functions for variational inequality problems (VIP) provide error bounds for the underlying VIP. Under the condition that the involved mapping F is strongly monotone, but not necessarily Lipschitz continuous, we prove that the so-called regularized gap function provides an error bound for the underlying VIP. We give also an example showing that the so-called D-gap function might not provide error bounds for a strongly monotone VIP.
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页码：299 / 314
页数：15
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