Convergence analysis of a novel iteration algorithm for solving split feasibility problems

In this paper, our aim is to construct a convergence theorem in Banach spaces via the following Ishikawa recursive algorithm { xn+1 = (1 − αn)xn + αn Tnyn, yn = (1 − βn)xn + βnTnxn, where {αn}, {βn} are sequences in [0, 1] and {Tn} is a sequence of nonexpansive mappings. Moreover, we also apply these results to solve a split feasibility problem.