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On the convergence of multistep iteration for uniformly continuous \(\Phi\)-hemicontractive mappings - MaRDI portal

On the convergence of multistep iteration for uniformly continuous \(\Phi\)-hemicontractive mappings (Q696063)

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scientific article; zbMATH DE number 6116384
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On the convergence of multistep iteration for uniformly continuous \(\Phi\)-hemicontractive mappings
scientific article; zbMATH DE number 6116384

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    On the convergence of multistep iteration for uniformly continuous \(\Phi\)-hemicontractive mappings (English)
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    18 December 2012
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    Summary: The convergence of the multistep iterative process with errors is obtained for uniformly continuous \(\Phi\)-hemicontractive mappings in real Banach spaces. We also revisit the problems of \textit{C. E. Chidume} and \textit{C. O. Chidume} [J. Math. Anal. Appl. 303, No. 2, 545--554 (2005; Zbl 1070.47055)].
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    multistep iterative process with errors
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    uniformly continuous \(\Phi\)-hemicontractive mappings
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    real Banach spaces
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    convergence
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