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Iterative schemes with some control conditions for a family of finite nonexpansive mappings in Banach spaces

Fixed Point Theory and Applications volume 2005, Article number: 140209 (2005) Cite this article

Abstract

The iterative schemes with some control conditions for a family of finite nonexpansive mappings are established in a Banach space. The main theorem improves results of Jung and Kim (also Bauschke). Our results also improve the corresponding results of Cho et al., Shioji and Takahashi, Xu, and Zhou et al. in certain Banach spaces and of Lions, O'Hara et al., and Wittmann in a framework of a Hilbert space, respectively.

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Authors and Affiliations

  1. Department of Mathematics, College of Natural Sciences, Dong-A University, Busan, 604-714, Korea

    Jong Soo Jung

  2. Department of Mathematics Education, College of Education, and the Research Institute of Natural Science, Gyeongsang National University, Chinju, 660-701, Korea

    Yeol Je Cho

  3. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901-6975, USA

    RP Agarwal

Authors
  1. Jong Soo Jung
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  2. Yeol Je Cho
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  3. RP Agarwal
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Correspondence to Jong Soo Jung.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Jung, J.S., Cho, Y.J. & Agarwal, R. Iterative schemes with some control conditions for a family of finite nonexpansive mappings in Banach spaces. Fixed Point Theory Appl 2005, 140209 (2005). https://doi.org/10.1155/FPTA.2005.125

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  • DOI: https://doi.org/10.1155/FPTA.2005.125