Copyright © 2009 Chakkrid Klin-eam 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 establish strong convergence theorems for finding a common element of
the zero point set of a maximal monotone operator and the fixed point set of two relatively
nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we
apply our main results to obtain strong convergence for a maximal monotone operator and
two nonexpansive mappings in a Hilbert space.