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

被引：0

作者：

Xue-song Li

Nan-jing Huang

JongKyu Kim

机构：

[1] Sichuan University,Department of Mathematics

[2] Kyungnam University,Department of Mathematics

来源：

Fixed Point Theory and Applications | / 2011卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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).

引用

共 50 条

[1] General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
Li, Xue-song
Huang, Nan-jing
Kim, Jong Kyu
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Gu, Feng
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
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[J]. FIXED POINT THEORY AND APPLICATIONS, 2013, : 1 - 11
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Jung Im Kang
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[J]. Fixed Point Theory and Applications, 2013
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[J]. APPLIED MATHEMATICS LETTERS, 2007, 20 (07) : 751 - 757
[8] A GENERAL VISCOSITY APPROXIMATION METHOD OF FIXED POINT SOLUTIONS OF VARIATIONAL INEQUALITIES FOR NONEXPANSIVE SEMIGROUPS IN HILBERT SPACES
Plubtieng, Somyot
Wangkeeree, Rattanaporn
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) : 717 - 728
[9] Viscosity Approximation Methods for Common Fixed Points of a Finite Family of Quasi-Nonexpansive Mappings in Real Hilbert Spaces
Jiangyan HE
Haiyun ZHOU
Xiaoyan HUO
[J]. Journal of Mathematical Research with Applications, 2016, 36 (03) : 351 - 358
[10] Viscosity approximation methods for nonexpansive semigroups in spaces
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[J]. FIXED POINT THEORY AND APPLICATIONS, 2013, : 1 - 16

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