Global iteration schemes for strongly pseudo-contractive maps

Suppose E is a real uniformly smooth Banach space, K is a nonempty closed convex and bounded subset of E, and T : K --> K is a strong pseudo-contraction. It is proved that if T has a fixed point in K then both the Mann and the Ishikawa iteration processes, for an arbitrary initial vector in K: converge strongly to the unique fixed T. No continuity assumption is necessary for this convergence. Moreover, our iteration parameters are independent of the geometry of the underlying Banach space and of any property of the operator.