Preprint A165/2002
Merit functions and error bounds for generalized variational inequalities

Mikhail Solodov

**Keywords: **
Variational inequality | merit function | error bound

We consider the generalized variational inequality
and construct certain merit functions associated with this problem.
In particular, those merit functions are everywhere nonnegative
and their zero-sets are precisely solutions of the
variational inequality.
We further use those functions to obtain error bounds,
i.e., upper estimates for the distance to solutions of
the problem.