Remark on stability of Ishikawa iterative procedures
Copyright policy )Remark on stability of Ishikawa iterative procedures
In this paper, the authors consider the stability of the two-step (Ishikawa) iterations for solving nonlinear equations in a Banach spaces. The results proved in this paper improve and refine the previously known results. Essentially using the technique developed in this paper, one can study the stability of the three-step iterations (known as Noor iterations) for solving nonlinear equations in a Banach space; see, for example, \textit{M. A. Noor, Z. Huang} and \textit{T. M. Rassias} [J. Math. Anal. Appl. 274, 59--68 (2002; Zbl 1028.65063)].
convergence, Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, nonlinear equations, Ishikawa iterations, stability
convergence, Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, nonlinear equations, Ishikawa iterations, stability
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