Some results about perturbed maximal monotone mappings *

In this paper, we consider a class of variational inequality problems for monotone type mappings. By using one coercive assumption which is weaker than the one used in [1], we establish some existence results of solutions to variational inequality problems with generalized pseudomonotone mappings, generalized pseudomonotone perturbation and T-pseudomonotone perturbation of maximal monotone mappings, respectively.