Mathematics Institute, African University of Science and Technology, Abuja, Nigeria
Academic Editor: S. Al-Homidan
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 -strictly pseudocontractive mappings and 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
above described sets. We give an application of our results. Our results extend
important recent results from the current literature.