On the convergence of a regularization method for variational inequalities

Abstract

For variational inequalities in a finite-dimensional space, the convergence of a regularization method is examined in the case of a nonmonotone basic mapping. It is shown that a fairly general sufficient condition for the existence of solutions to the original problem also guarantees the convergence and existence of solutions to perturbed problems. Examples of applications to problems on order intervals are presented. © MAIK "Nauka/ Interperiodica" (Russia), 2006.