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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.

MSC:

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