Remark on stability of Ishikawa iterative procedures (Q1400096)
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scientific article; zbMATH DE number 1963384
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remark on stability of Ishikawa iterative procedures |
scientific article; zbMATH DE number 1963384 |
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Remark on stability of Ishikawa iterative procedures (English)
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13 August 2003
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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)].
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stability
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Ishikawa iterations
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nonlinear equations
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convergence
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