Error Bounds for Approximation Solutions to Nonlinear Equations of Strongly Accretive Operators in Uniformly Smooth Banach Spaces

Let X be a uniformly smooth Banach space and T: XªX a strongly accretive operator. In this paper, we give the error bounds for the approximation solutions of the nonlinear equation Txsf generated by both the Mann and the Ishikawa iteration process. On the other hand, let K be a nonempty convex subset of X and T: KªK a strictly pseudocontractive mapping. The related results deal with the error bounds for the iterative approximation of the fixed point of T generated by these two processes.