The asymptotically quasi-nonexpansive mappings were generalized in a real uniformly convex Banach space. Under certain conditions, the Ishikawa-type iteration sequence with errors mapping was studied for asymptotically quasi-nonexpansive mappings， and the result was proved that the iteration sequence strongly converges to a common fixed point for asymptotically quasi-nonexpansive mappings by a inequality of nonnegative real sequences. 