Iterative solutions of nonlinear equations with phi-strongly accretive operators in uniformly smooth Banach spaces
Suppose that X is a uniformly smooth Banach space and T : X --> X is a demicontinuous (not necessarily Lipschitz) phi-strongly accretive operator. It is proved that the Ishikawa iterative method with errors converges strongly to the solutions of the equations f = Tx and f = x + Tx, respectively. A related result deals with the approximation of fixed points of phi-strongly pseudo contractive operators. Our results extend, improve, and unify the recent results obtained by Chidume [1,2] and Zhou [3]. (C) 2003 Elsevier Science Ltd. All rights reserved.
phi-strongly accretive operator uniformly smooth banach space ishikawa iteration sequence with errors demicontinuous operator phi-strongly pseudocontractive operator