In this note, a small gap is corrected in the assumption of main theorem of T.M. Tuyen (Theorem 3.1, Regularization proximal point algorithm for common fixed points of nonexpansive mappings in Banach spaces, J. Optim. Theory Appl., 152:351–365, 2012). We give another assumption, which allows us to obtain the strong convergence of regularization algorithms. In this note, a small gap is corrected in the assumption of main theoremof T.M. Tuyen (Theorem 3.1, Regularization proximal point algorithm for commonfixed points of nonexpansive mappings in Banach spaces, J. Optim. Theory Appl.,152:351–365, 2012). We give another assumption, which allows us to obtain thestrong convergence of regularization algorithms.