Mathematics Institute, African University of Science and Technology, Abuja, Nigeria
Academic Editor: A. Zayed
Copyright © 2011 Yekini Shehu. 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 by hybrid method for finding a
common element of the set of common fixed points of infinite family of nonexpansive mappings,
the set of common solutions to a system of generalized mixed equilibrium problems, and the
set of solutions to a variational inequality problem in a real Hilbert space. We then prove strong
convergence of the scheme to a common element of the three sets. We give some applications of
our results. Our results extend important recent results.