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

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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Correspondence to JongKyu Kim.

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Li, X., Huang, N. & 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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Keywords

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