SOLUTION BEHAVIOR FOR PARAMETER-DEPENDENT QUASI-VARIATIONAL INEQUALITIES

In the paper the solution behaviour of a class of parameter-dependent quasi-variational inequalities is analysed. By using sensitivity and s tability results for monotone variational inequalities and the Implici t Function Theorem of F. H. Clarke, we derive conditions under which t he perturbed solution of a parametric quasi-variational inequality is locally unique, lipschitzian and directionally differentiable. These r esults are particularized in the case of parametric implicit complemen tary problems.