Academic Editor: Charles E. Chidume
Copyright © 2010 Min Liu et al. This is an open access article distributed under the
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We prove a strong convergence theorem for finding a common element of
the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively
nonexpansive mapping, and the set of fixed points of a quasi--nonexpansive mapping in a Banach
space by using the shrinking Projection method. Our results improve the main results in S. Takahashi
and W. Takahashi (2008) and Takahashi and Zembayashi (2008). Moreover, the method of proof adopted in the
paper is different from that of S. Takahashi and W. Zembayashi (2008).