Sensitivity Analysis of Solutions to a Class of Quasi-variational Inequalities

Samir Adly (1) , Mohamed Ait-Mansour , Laura Scrimali

1 DMI

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]

Samir Adly, Mohamed Ait-Mansour, Laura Scrimali. Sensitivity Analysis of Solutions to a Class of Quasi-variational Inequalities. Bulletino Della Unione Mathematica Italiana, 2006, 8, pp.767-772. ⟨hal-00068300⟩