Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Bangkok 10140, Thailand
Copyright © 2011 Thanyarat Jitpeera 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 new iterative algorithms by hybrid method for finding a common element of
the set of solutions of fixed points of infinite family of nonexpansive mappings, the set of common solutions
of generalized mixed equilibrium problems, and the set of common solutions of the variational inequality
with inverse-strongly monotone mappings in a real Hilbert space. We prove the strong convergence of the
proposed iterative method under some suitable conditions. Finally, we apply our results to complementarity
problems and optimization problems. Our results improve and extend the results announced by many others.