On a generic class of regular one-parametric variational inequalities

In this paper the regularity of one-parametric optimization problems in the sense of Jongen, Jonker and Twilt is extended to one-parametric variational inequalities. The ve singularities are deened in this context and suitable indices are described around them. Many of the local properties of the singularities are also proved for this case. The generic property of the deened class of regular one-parametric variational inequalities is proved and a corresponding linear quadratic perturbation result is stated.