The equivalence between Mann–Ishikawa iterations and multistep iteration

Abstract

We show that the convergence of Mann, Ishikawa iterations are equivalent to the convergence of a multistep iteration, for various classes of operators.

    Authors

    B.E. Rhoades

    S.M. Soltuz
    (Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

    Keywords

    Mann iteration; Ishikawa iteration; Strongly pseudocontractive; Strongly accretive map.

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    Paper coordinates

    B.E. Rhoades and Ş.M. Şoltuz, The equivalence between Mann-Ishikawa iterations and multistep iteration, Nonlinear Analysis: Theory, Methods & Applications, 58 (2004) no. 1-2, 219-228.
    doi: 10.1016/j.na.2003.11.013

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    0362-546X

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