Summary: N. Shahzad
and H. Zegeye
[Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3–4, A, 838–844 (2009; Zbl 1218.47118
)] introduced several Ishikawa iterative schemes for fixed points of multi-valued mappings in Banach spaces and proved some strong convergence theorems for them. In their proofs, it seems reasonable and simpler to prove for the iteration
to be a Cauchy sequence. In the present paper, we thus modify and improve the proofs of the main results given by Shahzad and Zegeye. Two concrete examples also are given.