On finite-dimensional generalized variational inequalities

被引：0

作者：

Panicucci, Barbara ^{[1
]}

Pappalardo, Massimo ^{[1
]}

Passacantando, Mauro ^{[1
]}

机构：

[1] Univ Pisa, Dept Appl Math, I-56126 Pisa, Italy

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2006年 / 2卷 / 01期

关键词：

variational inequality; generalized variational inequality; equilibrium point; gap function;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Our aim is to provide a short analysis of the generalized variational inequality (GVI) problem from both theoretical and algorithmic points of view. First, we show connections among some well known existence theorems for GVI and for inclusions. Then, we recall the proximal point approach and a splitting algorithm for solving GVI. Finally, we propose a class of differentiable gap functions for GVI, which is a natural extension of a well known class of gap functions for variational inequalities (VI).

引用

页码：43 / 53

页数：11

共 24 条

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