Quasimonotone Variational Inequalities and Quasiconvex Programming: Qualitative Stability
Mohamed Ait Mansour, Didier Aussel · Journal of convex analysis · 2008
We consider quasimonotone Stampacchia variational inequalities subject to perturbations, both on the set-valued operator and on the constraint set. We establish continuity properties, upper semicontinuity and lower semicontinuity, of the (possibly set-valued) solution map. Application to quasiconvex optimization is given throughout the concept of normal operator.