Semismoothness in parametrized quasi-variational inequalities
Jiří V. Outrata · 1996
The paper deals with stability and sensitivity analysis of a class of parameter-dependent quasi-variational inequalities. By using the stability theory of Robinson for generalized equations, we compute the directional derivative and the generalized Jacobian of the map which assigns to the parameter the (locally unique) solution of the quasi-variational inequality. This enables to prove that this map is in fact semismooth and, consequently, to apply various methods of nonsmooth analysis to the numerical treatment of an interesting class of equilibrium problems.