Iterative approximation of solutions to nonlinear equations involving \(m\)-accretive operators in Banach spaces (Q1614691)

In real Banach space the equation with a Lipschitz continuous accretive operator \(T:E\rightarrow E\), dispensing with the assumption \(\lim_{n\rightarrow \infty}\alpha_n=\lim_{n\rightarrow \infty}\beta_n=0\), is considered. As a generalization of the results of \textit{L. S. Liu} [J. Math. Anal. Appl. 194, 114-125 (1995; Zbl 0872.47031)] it is proved that the Ishikawa iterative sequence with errors converges strongly to the unique solution of this equation. Convergence rate estimations for some special cases are given.