Ample parameterization of variational inclusions

For a general category of variational inclusions infinite dimensions, a cla ss of parameterizations, called ample parameterizations, is identified that is rich enough to provide a full theory of Lipschitz-type properties of so lution mappings without the need to resort to the auxiliary introduction of canonical parameters. Ample parameterizations also support a detailed desc ription of the graphical geometry that underlies generalized differentiatio n of solutions mappings. A theorem on proto-derivatives is thereby obtained . The case of a variational inequality over a polyhedral convex set is give n special treatment along with an application to minimizing a parameterized function over such a set.