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eISSN 0454-8124
pISSN 1225-6951

### Original Article

Kyungpook Mathematical Journal 2006; 46(2): 201-209

Published online June 23, 2006

Suppose $C$ is a nonempty closed convex subset of a real uniformly convex Banach space $X$. Let $T:C o C$ be an asymptotically nonexpansive in the intermediate sense mapping. In this paper we introduced the three-step iterative sequence for such map with error members. Moreover, we prove that, if $T$ is completely continuous then the our iterative sequence converges strongly to a fixed point of $T$.