Convergence and almost stability of Ishikawa iterative scheme with errors for m-accretive operators
Let X be a uniformly smooth real Banach space and T : X --> X be a generalized Lipschitzian and m-accretive operator. It is proved that under suitable conditions, the Ishikawa, iterative schemes with errors both converges strongly to the unique solution of the nonlinear operator equation x+Tx = f and is almost stable. A few related results deal with the operator equations for the dissipative type operator. The results presented in this paper extend substantially the corresponding results in [1,2]. (C) 2004 Elsevier Ltd. All rights reserved.
almost stability m-accretive operator ishikawa iteration sequence with errors dissipative operator generalized lipschitzian operator uniformly smooth banach spaces