Abstract: Through using a new iteration scheme,the problem of finding a common fixed point of finite nonexpansive mappings  was considered in a uniformly  convex Banach space,some weak convergence theorems were given,which generalized some weak convergence theorems of the Ishikawa iteration sequence with only one operator.

Key words: nonexpansive mappings, fixed point, uniformly convex Banach spaces, opial condition, Frechet differentiable