Copyright © 2010 Yanlai Song and Changsong Hu. 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 a new iterative scheme with Meir-Keeler contractions for strict pseudocontractions in -uniformly smooth Banach spaces. We also discuss the strong convergence theorems for the new
iterative scheme in -uniformly smooth Banach space. Our results improve and extend the corresponding results
announced by many others.