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On the convergence of Mann and Ishikawa iterative processes for asymptotically \(\phi\)-strongly pseudocontractive mappings - MaRDI portal

On the convergence of Mann and Ishikawa iterative processes for asymptotically \(\phi\)-strongly pseudocontractive mappings (Q417206)

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scientific article; zbMATH DE number 6034253
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On the convergence of Mann and Ishikawa iterative processes for asymptotically \(\phi\)-strongly pseudocontractive mappings
scientific article; zbMATH DE number 6034253

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    On the convergence of Mann and Ishikawa iterative processes for asymptotically \(\phi\)-strongly pseudocontractive mappings (English)
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    14 May 2012
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    Summary: We prove the equivalence and the strong convergence of (1) the modified Mann iterative process and (2) the modified Ishikawa iterative process for asymptotically \(\phi\)-strongly pseudocontractive mappings in a uniformly smooth Banach space.
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    strong convergence
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    modified Mann iterative process
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    modified Ishikawa iterative process
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    asymptotically \(\phi\)-strongly pseudocontractive mappings
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    uniformly smooth Banach space
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