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

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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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

Keywords

  • Differential Geometry
  • Nonexpansive Mapping
  • Computational Biology
  • Iteration Scheme
  • Finite Family