Academic Editor: A. Zafer
Copyright © 2010 Yekini Shehu. 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 construct a new iterative scheme by hybrid methods and prove strong convergence
theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive
mappings which is also a solution to a system of generalized mixed equilibrium problems in a uniformly convex
real Banach space which is also uniformly smooth using the properties of generalized -projection operator.
Using this result, we discuss strong convergence theorem concerning general -monotone mappings and system
of generalized mixed equilibrium problems in Banach spaces. Our results extend many known recent results in