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General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces

Fixed Point Theory and Applications volume 2011, Article number: 783502 (2011) Cite this article

Abstract

This paper is devoted to the strong convergence of two kinds of general viscosity iteration processes for approximating common fixed points of a nonexpansive semigroup in Hilbert spaces. The results presented in this paper improve and generalize some corresponding results in (X. Li et al., 2009, S. Li et al., 2009, and Marino and Xu, 2006).

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China

    Xue-song Li & Nan-jing Huang

  2. Department of Mathematics, Kyungnam University, Masan, Kyungnam, 631-701, Republic of Korea

    JongKyu Kim

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  1. Xue-song Li
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  2. Nan-jing Huang
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  3. JongKyu Kim
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Correspondence to JongKyu Kim.

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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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Li, Xs., Huang, Nj. & Kim, J. General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces. Fixed Point Theory Appl 2011, 783502 (2011). https://doi.org/10.1155/2011/783502

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  • DOI: https://doi.org/10.1155/2011/783502

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