Academic Editor: Mohamed A. Khamsi
Copyright © 2010 Xiubin Xu and Hong-Kun Xu. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We provide a general regularization method for monotone variational inequalities,
where the regularizer is a Lipschitz continuous and strongly monotone operator. We
also introduce an iterative method as discretization of the regularization method.
We prove that both regularization and iterative methods converge in norm.