Summary: The following result is shown: Let be a real Banach space with a uniformly convex dual , and let be a nonempty closed convex and bounded subset of . Assume that is a continuous strong pseudocontraction. Let and be two real sequences satisfying (i) for all ; (ii) ; and (iii) , as . Then the Ishikawa iterative sequence generated by
converges strongly to the unique fixed point of .