We propose easily implementable algorithms for minimizing the norm
with pseudomonotone variational inequality constraints. This bilevel problem arises
in the Tikhonov regularization method for pseudomonone variational inequalities.
Since the solution set of the lower variational inequality is not given explicitly, the
available methods of mathematical programming and variational inequality can not
be applied directly. With these algorithms we want to give an answer to a question
posed in the ref