Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
2011 Rattanaporn Wangkeeree 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 introduce a
general composite algorithm for finding a common
element of the set of solutions of a general equilibrium
problem and the common fixed point set of a finite family of
asymptotically nonexpansive mappings in the framework of Hilbert
spaces. Strong convergence of such iterative scheme is obtained
which solving some variational inequalities for a strongly
monotone and strictly pseudocontractive mapping. Our results
extend the corresponding recent results of Yao and Liou (2010).