Copyright © 2010 Jinlong Kang et al. 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 general iterative method for finding the solution of the
variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert
space. We prove that the sequence converges strongly to a common element of the above two sets
under some parameters controlling conditions. Our results improve and generalize many known