Sensitivity Analysis of Solutions to a Class of Quasi-variational Inequalities
Résumé
We provide a sensitivity result for the solutions to the following finite-dimensional quasi-variational inequality (QVI) $$u\in K(u), \langle C(u), v-u\rangle \geq0, \qquad \forall v \in K(u), $$ when both the operator $C$ and the convex $K$ are perturbed. In particular, we prove the Hölder continuity of the solution sets of the problems perturbed around the original problem. All the results may be extended to infinite-dimensional QVI.
Domaines
Mathématiques [math]
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...