An iterative method for solving a class of nonlinear operator equations in Banach spaces. (English) Zbl 0851.47043

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.


47J25 Iterative procedures involving nonlinear operators
47H06 Nonlinear accretive operators, dissipative operators, etc.
65J15 Numerical solutions to equations with nonlinear operators