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Iterative sequences with mixed errors for asymptotically quasi-nonexpansive type mappings in Banach spaces

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Abstract

The purpose of this paper is to study necessary and sufficient conditions for the Ishikawa iterative sequence with mixed errors of asymptotically quasi-nonexpansive type mappings in Banach spaces to converge to a fixed point in Banach spaces. The results presented in this paper complememt, improve and prefect the corresponding results of [1]–[4] and [7]–[9].

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China

    S. S. Chang

  2. The Research Institute of Natural Sciences, Department of Mathematics, College of Education, Gyeongsang National University, Chinju, 660-701, Korea

    Y. J. Cho

  3. Department of Mathematics, Yunnan Normal University, Kunming, 650092, China

    Y. Y. Zhou

Authors
  1. S. S. Chang
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  2. Y. J. Cho
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  3. Y. Y. Zhou
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Chang, S.S., Cho, Y.J. & Zhou, Y.Y. Iterative sequences with mixed errors for asymptotically quasi-nonexpansive type mappings in Banach spaces. Acta Mathematica Hungarica 100, 147–155 (2003). https://doi.org/10.1023/A:1024664419611

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