On finite-dimensional generalized variational inequalities

Barbara Panicucci; Massimo Pappalardo; Mauro Passacantando

doi:10.3934/jimo.2006.2.43

Article Contents

2006, Volume 2, Issue 1: 43-53. Doi: 10.3934/jimo.2006.2.43

This issue Previous Article Optimality and nonoptimality of the base-stock policy in inventory problems with multiple delivery modes Next Article On a discrete optimal control problem with an explicit solution

On finite-dimensional generalized variational inequalities

1.
Department of Applied Mathematics - University of Pisa, via Bonanno, 25/b, 56126 Pisa

Received: May 2005

Revised: December 2005

Published: January 2006

Abstract / Introduction Related Papers Cited by

Abstract

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).

Keywords:

Mathematics Subject Classification: 49J40, 49J53, 90C30.

Citation:

Article Metrics

HTML views() PDF downloads(129) Cited by(0)

On finite-dimensional generalized variational inequalities

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On finite-dimensional generalized variational inequalities

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content