This article is part of the series Equilibrium Problems and Fixed Point Theory.

Open Access Research Article

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

Xue-song Li1, Nan-jing Huang1 and JongKyu Kim2*

Author Affiliations

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

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

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Fixed Point Theory and Applications 2011, 2011:783502 doi:10.1155/2011/783502


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2011/1/783502


Received:12 November 2010
Accepted:17 December 2010
Published:23 December 2010

© 2011 Copyright © 2011 Xue-song Li et al.

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.

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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