Abstract
In this paper, we consider the split feasibility problem in Banach spaces. Then using the idea of Mann's iteration, we first prove a weak convergence theorem for finding a solution of the split feasibility problem in Banach spaces. Furthermore, using the idea of Halpern's iteration, we obtain a strong 'convergence theorem for finding a solution of the problem in Banach spaces. It seems that these results are first in Banach spaces.