Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Bangkok 10140, Thailand
Copyright © 2011 Thanyarat Jitpeera and Poom Kumam. 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.
The purpose of this paper is to consider a shrinking projection method for finding the common
element of the set of common fixed points for nonexpansive semigroups, the set of common fixed points for an
infinite family of a -strict pseudocontraction, the set of solutions of a system of mixed equilibrium problems,
and the set of solutions of the variational inclusion problem. Strong convergence of the sequences generated
by the proposed iterative scheme is obtained. The results presented in this paper extend and improve some
well-known results in the literature.