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A Perturbed Iterative Method for a General Class of Variational Inequalities

Adly, Samir — 1996

Serdica Mathematical Journal

The generalized Wiener-Hopf equation and the approximation methods are used to propose a perturbed iterative method to compute the solutions of a general class of nonlinear variational inequalities.

Sensitivity analysis of solutions to a class of quasi-variational inequalities

Samir Adly; Mohamed Ait Mansour; Laura Scrimali — 2005

Bollettino dell'Unione Matematica Italiana

We provide a sensitivity result for the solutions to the following finite-dimensional quasi-variational inequality $Q V I u \in K (u), 〈C (u), v - u〉 \geq 0, \forall v \in K (u),$ 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).

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