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Convergence to common fixed points of a finite family of nonexpansive mappings

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Abstract.

We study approximation of common fixed points of a finite family of nonexpansive mappings and introduce an iterative scheme defined by using a convex combination of mappings. Strong convergence of the iteration is obtained under several types of control conditions.

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Authors and Affiliations

  1. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, 152-8552, Japan

    Yasunori Kimura, Wataru Takahashi & Masashi Toyoda

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  1. Yasunori Kimura
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  2. Wataru Takahashi
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  3. Masashi Toyoda
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Correspondence to Yasunori Kimura.

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Received: 28 May 2004

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Kimura, Y., Takahashi, W. & Toyoda, M. Convergence to common fixed points of a finite family of nonexpansive mappings. Arch. Math. 84, 350–363 (2005). https://doi.org/10.1007/s00013-004-1175-z

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  • DOI: https://doi.org/10.1007/s00013-004-1175-z

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