Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Bangkok 10140, Thailand
Copyright © 2010 Siwaporn Saewan 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.
The purpose of this paper is to introduce a new hybrid projection method for finding a common element of the set of common fixed points of two relatively quasi-nonexpansive mappings, the set of
the variational inequality for an -inverse-strongly monotone, and the set of solutions of the generalized
equilibrium problem in the framework of a real Banach space. We obtain a strong convergence theorem
for the sequences generated by this process in a 2-uniformly convex and uniformly smooth Banach space.
Base on this result, we also get some new and interesting results. The results in this paper generalize,
extend, and unify some well-known strong convergence results in the literature.