School of Science and Technology, Naresuan University at Phayao, Phayao 56000, Thailand
Copyright © 2009 Prasit Cholamjiak. 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 algorithm for finding a common element of the set of solutions of the equilibrium problem
and the set of the variational inequality for an inverse-strongly monotone
operator and the set of fixed points of relatively quasi-nonexpansive mappings
in a Banach space. Then we show a strong convergence theorem. Using this
result, we obtain some applications in a Banach space.