Alber, Ya. I.; Reich, S. An iterative method for solving a class of nonlinear operator equations in Banach spaces. (English) Zbl 0851.47043 Panam. Math. J. 4, No. 2, 39-54 (1994). Summary: We introduce the class of \(d\)-accretive operators and establish a strong convergence theorem for an explicit iterative scheme for constructing zeros of such operators. Convergence rates are also obtained. Cited in 1 ReviewCited in 140 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 47H06 Nonlinear accretive operators, dissipative operators, etc. 65J15 Numerical solutions to equations with nonlinear operators Keywords:iterative method; Lyapunov functionals; convergence rates; \(d\)-accretive operators; strong convergence; explicit iterative scheme; constructing zeros PDFBibTeX XMLCite \textit{Ya. I. Alber} and \textit{S. Reich}, Panam. Math. J. 4, No. 2, 39--54 (1994; Zbl 0851.47043)