First-order methods for certain quasi-variational inequalities in a Hilbert space
Irina P. Ryazantseva · Computational Mathematics and Mathematical Physics · 2007
Sufficient conditions are obtained for quasi-variational inequalities of a special type with nonlinear operators in a Hilbert space to be uniquely solvable. A first-order continuous method and its discrete variant are constructed for inequalities of this kind. The strong convergence of these methods is proved.