Title
Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint
Abstract
It is proved that the metric projection from a point onto a moving polyhedron is Lipschitz continuous with respect to the perturbations on the right-hand sides of the linear inequalities defining the polyhedron. The property leads to a simple sufficient condition for Lipschitz continuity of a locally unique solution of parametric variational inequalities with a moving polyhedral constraint set. Applications of these results to traffic network equilibrium problems are given in detail.
Year
DOI
Venue
1995
10.1287/moor.20.3.695
Math. Oper. Res.
Keywords
DocType
Volume
parametric polyhedral constraint,lipschitz continuity,variational inequality
Journal
20
Issue
ISSN
Citations 
3
0364-765X
24
PageRank 
References 
Authors
4.91
6
1
Name
Order
Citations
PageRank
N. D. Yen110417.57