In this paper, we employ the idea of exclusion of a condition given by Shahzad and Zegeye [on Mann and Ishikawa iteration schemes for multivalued maps in Banach spaces, Nonlinear Anal. Theory Methods Appl.71(3–4) (2009) 838–844] to our iterative process which converges much faster than Mann, Ishikawa and Agarwal's iterative processes.