Approximation methods for nonlinear m-accretive operator equations

Suppose E is a real reflexive Banach space and T: D(T) subset of E --> E is a locally Lipschitzian m-accretive operator, where the domain of T, D(T), is a proper subset of E. For any f is an element of E, approximation methods are constructed which converge strongly to the solution of the equation x + Tx = f. Explicit error estimates are given and convergence is at least as fast a geometric progression. (C) 1997 Academic Press.