Copyright © 2009 Qing-you Liu 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 an iterative scheme by the viscosity approximation
method for finding a common element of the set of solutions of
generalized equilibrium problems, the set of common fixed points
of infinitely many nonexpansive mappings, and the set of solutions
of the variational inequality for
monotone mappings in Hilbert spaces. We give some
strong-convergence theorems under mild assumptions on parameters.
The results presented in this paper improve and generalize the
main result of Yao et al. (2007).