Iterative process with errors of nonlinear equations involving m-accretive operators

[摘要] Let X be a uniformly smooth and uniformly convex Banach space and T: D(T) subset of X --> X be an m-accretive operator with the domain D(T) and the range R(T). For any given f is an element of X, we prove that the Mann and Ishikawa type iterative sequences with errors converge strongly to the unique solution of the equation x + Tx = f where T may not be Lipschitz. Some related results deal with the convergence of Mann and Ishikawa type iterative sequences with errors for approximating a solution of a continuous dissipative operator equation. (C) 1997 Academic Press.

[发布日期] 1997-05-01