Approximation Methods for Nonlinear m-Accretive Operator Equations*

Suppose E is a real reflexi¨e Banach space and T : D T.;EªE is a locally Lipschitzian m-accreti¨e operator, where the domain of T, D T., is a proper subset of E. For any fgE, approximation methods are constructed which converge strongly to the solution of the equation xqTxsf. Explicit error estimates are given and convergence is at least as fast a geometric progression