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Approximating Fixed Points of Infinite Nonexpansive Mappings by the Hybrid Method

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Abstract

In this paper, we introduce an iterative scheme for finding a common fixed point of infinite nonexpansive mappings in a Hilbert space by using the hybrid method. Then, we prove a strong convergence theorem which is connected with the problem of image recovery. Further, using this result, we consider the generalized problem of image recovery and the problem of finding a common fixed point of a family of nonexpansive mappings.

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Authors and Affiliations

  1. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-Ku, Tokyo, Japan

    M. Kikkawa (Graduate Student) & W. Takahashi (Professor, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-Ku, Tokyo, Japan)

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  1. M. Kikkawa
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  2. W. Takahashi
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Kikkawa, M., Takahashi, W. Approximating Fixed Points of Infinite Nonexpansive Mappings by the Hybrid Method. Journal of Optimization Theory and Applications 117, 93–101 (2003). https://doi.org/10.1023/A:1023652406878

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