| Abstract: | Suppose  is a real uniformly smooth Banach space,  is a nonempty closed convex and bounded subset of  , and  is a strong pseudo-contraction. It is proved that if  has a fixed point in  then both the Mann and the Ishikawa iteration processes, for an arbitrary initial vector in  , converge strongly to the unique fixed  . 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. |
