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Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings

Fixed Point Theory and Applications volume 2007, Article number: 029091 (2007) Cite this article

Abstract

We propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings . We show that the proposed iteration scheme converges to the common fixed point which solves some variational inequality.

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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, Tianji, 300160, China

    Yonghong Yao & Rudong Chen

Authors
  1. Yeong-Cheng Liou
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  2. Yonghong Yao
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  3. Rudong Chen
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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. & Chen, R. Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings. Fixed Point Theory Appl 2007, 029091 (2007). https://doi.org/10.1155/2007/29091

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  • DOI: https://doi.org/10.1155/2007/29091

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