Stable Iteration Procedures for Strong Pseudocontractions and Nonlinear Equations Involving Accretive Operators without Lipschitz Assumption

Let E be a real uniformly smooth Banach space and T : E → E a strong pseudocontraction with a bounded range. We prove that the Mann and Ishikawa iteration procedures are T -stable. Some related results deal with the stability of these procedures for the iteration approximation of solutions of nonlinear equations involving accretive operators. Our results improve and/or extend those corresponding results announced by Osilike.