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  • Research Article
  • Open Access

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

Fixed Point Theory and Applications20102011:783502

  • Received: 12 November 2010
  • Accepted: 17 December 2010
  • Published:


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).


  • Hilbert Space
  • Approximation Method
  • Differential Geometry
  • Strong Convergence
  • Iteration Process

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Authors’ Affiliations

Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China
Department of Mathematics, Kyungnam University, Masan, Kyungnam, 631-701, Republic of Korea


© Xue-song Li et al. 2011

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.