Academic Editor: Yeol J. E. Cho
Copyright © 2010 Shih-sen Chang 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.
The purpose of this paper is to use the modified block iterative method to propose an
algorithm for solving the convex feasibility problems for an infinite family of quasi--asymptotically
nonexpansive mappings. Under suitable conditions some strong convergence theorems are established
in uniformly smooth and strictly convex Banach spaces with Kadec-Klee property. The
results presented in the paper improve and extend some recent results.