Copyright © 2011 Jian-Wen Peng 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 new iterative scheme based on both hybrid method and
extragradient method for finding a common element of the solutions set of a system of equilibrium
problems, the fixed points set of a nonexpansive mapping, and the solutions set of a variational
inequality problems for a monotone and -Lipschitz continuous mapping in a Hilbert space. Some
convergence results for the iterative sequences generated by these processes are obtained. The results
in this paper extend and improve some known results in the literature.