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On Some Convergence Properties of the Modified Ishikawa Scheme for Asymptotic Demicontractive Self-Mappings with Matricial Parameterizing Sequences

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  • M. De la Sen

Abstract

This paper is focused on the modified Ishikawa iterative scheme by admitting that the parameterizing sequences might be vectors of distinct components. It is also assumed that the auxiliary self-mapping which supports the iterative scheme is asymptotically demicontractive.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jjmath:3840784
    DOI: 10.1155/2018/3840784
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    References listed on IDEAS

    as
    1. 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.
    2. M. K. Ghosh & L. Debnath, 1997. "Convergence of Ishikawa iterates of generalized nonexpansive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-4, January.
    3. B. E. Rhoades & Ştefan M. Şoltuz, 2003. "The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-7, January.
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