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Approximating zero points of accretive operators with compact domains in general Banach spaces

Fixed Point Theory and Applications volume 2005, Article number: 926890 (2005) Cite this article

Abstract

We prove strong convergence theorems of Mann's type and Halpern's type for resolvents of accretive operators with compact domains and apply these results to find fixed points of nonexpansive mappings in Banach spaces.

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Authors and Affiliations

  1. Department of Mathematical and Computing Sciences, Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Okayama 2-12-1, Meguro-ku, Tokyo, 152-8552, Japan

    Hiromichi Miyake & Wataru Takahashi

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  1. Hiromichi Miyake
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  2. Wataru Takahashi
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Correspondence to Hiromichi Miyake.

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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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Miyake, H., Takahashi, W. Approximating zero points of accretive operators with compact domains in general Banach spaces. Fixed Point Theory Appl 2005, 926890 (2005). https://doi.org/10.1155/FPTA.2005.93

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  • DOI: https://doi.org/10.1155/FPTA.2005.93