Copyright © 2013 H. Zegeye and N. Shahzad. 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 an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous asymptotically -strict pseudocontractive mappings in the intermediate sense for . The projection of onto the intersection of closed convex sets and for each is not required. Moreover, the restriction that the interior of common fixed points is nonempty is not required. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.