Copyright © 2010 Yeol Je Cho and Shenghua Wang. 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 introduce a new iterative scheme with a countable
family of nonexpansive mappings for the variational inequality problems in Hilbert
spaces and prove some strong convergence theorems for the proposed schemes.