THE REGULARIZATION METHOD FOR VARIATIONAL-INEQUALITIES WITH NONSMOOTHUNBOUNDED OPERATORS IN BANACH-SPACE

The convergence and stability of the regularization method for variati onal inequalities with nonsmooth unbounded uniformly and properly mono tone (i.e., degenerate) operators on Banach spaces are investigated. A ll the objects of the inequality: the operator A, the right-hand part f and the set of constraints OMEGA are to be perturbed. Along with wel l-known approximation criterions (according to Hausdorff and Mosco), a new quantitative proximity characteristic of convex closed sets is us ed. As a corollary, the convergence and stability of the Galerkin meth od are established.