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On the equivalence of Mann and Ishikawa iteration methods

Author

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  • B. E. Rhoades
  • Stefan M. Soltuz

Abstract

We show that certain Mann and Ishikawa iteration schemes are equivalent for various classes of functions.

Suggested Citation

  • B. E. Rhoades & Stefan M. Soltuz, 2003. "On the equivalence of Mann and Ishikawa iteration methods," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:915678
    DOI: 10.1155/S0161171203110198
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    Cited by:

    1. Mujahid Abbas & Rizwan Anjum & Vasile Berinde, 2021. "Equivalence of Certain Iteration Processes Obtained by Two New Classes of Operators," Mathematics, MDPI, vol. 9(18), pages 1-15, September.
    2. M. De la Sen, 2018. "On Some Convergence Properties of the Modified Ishikawa Scheme for Asymptotic Demicontractive Self-Mappings with Matricial Parameterizing Sequences," Journal of Mathematics, Hindawi, vol. 2018, pages 1-13, July.

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