Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
Copyright © 2010 M. A. Ahmed and F. M. Zeyada. 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 concept of weakly quasi-nonexpansive mappings with respect to a sequence is introduced. This concept
generalizes the concept of quasi-nonexpansive mappings with respect to a sequence due to Ahmed and Zeyada (2002).
Mainly, some convergence theorems are established and their applications to certain iterations are