Let be a uniformly convex Banach space, a nonempty closed convex subset of . In this paper, we introduce an iteration scheme with errors in the sense of Xu (1998) generated by as follows: , , , , , where , the identity map; and are bounded sequences in ; and , , and are suitable sequences in . We first consider the behaviour of iteration scheme above
for a finite family of asymptotically nonexpansive mappings.
Then we generalize theorems of Schu and Rhoades.