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• W2164405041 abstract "Abstract Let K be a nonempty closed bounded convex subset of an arbitrary smooth Banach space X and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>T</mml:mi> <mml:mo>:</mml:mo> <mml:mi>K</mml:mi> <mml:mo>→</mml:mo> <mml:mi>K</mml:mi> </mml:math> be a continuous strictly hemicontractive mapping. Under some conditions, we obtain that the Mann iteration method with error term converges strongly to a unique fixed point of T and is almost T -stable on K . As an application of our results, we establish strong convergence of a multi-step iteration process." @default.
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• W2164405041 date "2012-09-24" @default.
• W2164405041 modified "2023-09-24" @default.
• W2164405041 title "Almost stability of the Mann type iteration method with error term involving strictly hemicontractive mappings in smooth Banach spaces" @default.
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• W2164405041 doi "https://doi.org/10.1186/1029-242x-2012-207" @default.
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