Convergence of the steepest descent method for accretive operators

Let X be a uniformly smooth Banach space and let A: X --> X be a bounded de micontinuous mapping, which is also alpha-strongly accretive on X. Let z is an element of X and let x(o) be an arbitrary initial value in X. Then the approximating scheme x(n+1) = x(n) - c(n)(Ax(n) - z), n = 0, 1, 2,..., converges strongly to the unique solution of the equation Ax = z, provided that the sequence {c(n)} fulfills suitable conditions.