Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Bangkok 10520, Thailand
Academic Editor: T. D. Benavides
Copyright © 2010 Atid Kangtunyakarn. 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 method for a system of generalized
equilibrium problems, system of variational inequality problems, and fixed point
problems by using -mapping generated by a finite family of nonexpansive
mappings and real numbers. Then, we prove a strong convergence theorem
of the proposed iteration under some control condition. By using our main
result, we obtain strong convergence theorem for finding a common element of
the set of solution of a system of generalized equilibrium problems, system of
variational inequality problems, and the set of common fixed points of a finite
family of strictly pseudocontractive mappings.