The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map

Stefan Soltuz
(original), Fixed point theory, ISI/JCR, paper

Abstract

The convergence of Mann iteration is equivalent to the convergence of Ishikawa iterations, when T is an asymptotically nonexpansive and asymptotically pseudocontractive map.

    Authors

    B.E. Rhoades

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

    Keywords

    Mann type iteration; Ishikawa type iteration; Asymptotically nonexpansive; Asymptotically pseudocontractive.

    References

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    Paper coordinates

    B. E. Rhoades and Ştefan M. Şoltuz, The equivalence between the convergences of Ishikawa and Mann iterations for asymptotically pseudocontractive map, J. Math. Anal. Appl. 283 (2003), 681-688
    doi: 10.1016/S0022-247X(03)00338-X

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    About this paper

    Journal

    J. Math. Anal. Appl.

    Publisher Name

    Elsevier

    DOI

    10.1016/S0022-247X(03)00338-X

    Print ISSN

    0022-247X

    Online ISSN
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    2003

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