Iterative process for lipschitz local strictly pseudocontractive mappings

Suppose that K is a non-empty subset of a uniformly smooth Banach space X. Let T:K→X be a Lipschitz local strictly pseudocontractive mapping. In this paper, the iterative sequence which converges strongly to the unique fixed point of T is given. A related result deals with the problem that the Ishikawa iteration process converges strongly to a solution of the equation TX=f wheh T is Lipschitzian and local strongly accretive in X. Project supported by the National Natural Science Foundation of China.