Article ID: | iaor20061349 |
Country: | United States |
Volume: | 30 |
Issue: | 1 |
Start Page Number: | 109 |
End Page Number: | 126 |
Publication Date: | Feb 2005 |
Journal: | Mathematics of Operations Research |
Authors: | Shapiro Alexander |
In this paper we discuss local uniqueness, continuity, and differentiability properties of solutions of parameterized variational inequalities (generalized equations). To this end we use two types of techniques. One approach consists in formulating variational inequalities in a form of optimization problem based on regularized gap functions, and applying a general theory of perturbation analysis of parameterized optimization problems. Another approach is based on a theory of contingent (outer graphical) derivatives and some results about differentiability properties of metric projections.