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Strong Convergence to Common Fixed Points of a Finite Family of Nonexpansive Mappings

Journal of Inequalities and Applications volume 2007, Article number: 037513 (2007) Cite this article

Abstract

We suggest and analyze an iterative algorithm for a finite family of nonexpansive mappings. Further, we prove that the proposed iterative algorithm converges strongly to a common fixed point of.

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Authors and Affiliations

  1. Department of Information Management, Cheng Shiu University, Kaohsiung, 833, Taiwan

    Yeong-Cheng Liou

  2. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

    Yonghong Yao

  3. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, 804, Taiwan

    Kenji Kimura

Authors
  1. Yeong-Cheng Liou
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  2. Yonghong Yao
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  3. Kenji Kimura
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Correspondence to Yeong-Cheng Liou.

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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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Liou, YC., Yao, Y. & Kimura, K. Strong Convergence to Common Fixed Points of a Finite Family of Nonexpansive Mappings. J Inequal Appl 2007, 037513 (2007). https://doi.org/10.1155/2007/37513

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  • DOI: https://doi.org/10.1155/2007/37513

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