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Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators - MaRDI portal

Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators (Q700906)

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scientific article; zbMATH DE number 1814799
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Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators
scientific article; zbMATH DE number 1814799

    Statements

    Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators (English)
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    15 October 2002
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    Suppose that \(X\) is an arbitrary real Banach space and \(T: X\to X\) is a Lipschitz strongly pseudocontractive operator. It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of \(T\) and this theorem procedure is stable with respect to \(T\).
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    stability
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    strong convergence
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    Banach space
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    Lipschitz strongly pseudocontractive operator
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    Ishikawa iterative method with errors
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