Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 852789, 22 pages
Research Article

Iterative Methods for Family of Strictly Pseudocontractive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems

Mathematics Institute, African University of Science and Technology, Abuja, Nigeria

Received 6 September 2010; Accepted 25 November 2010

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 𝑘 -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.