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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: 23 December 2010


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 SpaceApproximation MethodDifferential GeometryStrong ConvergenceIteration Process

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Authors’ Affiliations

Department of Mathematics, Sichuan University, Chengdu, China
Department of Mathematics, Kyungnam University, Kyungnam, Republic of Korea


© Xue-song Li et al. 2011

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