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Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces

Abstract

We show that the convergence of Picard iteration is equivalent to the convergence of Mann iteration schemes for various Zamfirescu operators. Our result extends of Soltuz (2005).

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References

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Correspondence to Xue Zhiqun.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zhiqun, X. Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces. Fixed Point Theory Appl 2007, 061434 (2007). https://doi.org/10.1155/2007/61434

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  • DOI: https://doi.org/10.1155/2007/61434

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