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.
We introduce the shrinking hybrid projection method for finding a common element of the set of fixed
points of strictly pseudocontractive mappings, the set of common solutions of the variational inequalities with inverse-strongly
monotone mappings, and the set of common solutions of generalized mixed equilibrium problems in Hilbert
spaces. Furthermore, we prove strong convergence theorems for a new shrinking hybrid projection method under some
mild conditions. Finally, we apply our results to Convex Feasibility Problems (CFP). The results obtained in this paper
improve and extend the corresponding results announced by Kim et al. (2010) and the previously known results.