Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Copyright © 2009 Chakkrid Klin-eam and Suthep Suantai. 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 prove strong convergence theorems for finding a common element
of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence results for resolvents of maximal monotone operators and hemirelatively nonexpansive mappings in a Banach space.