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

Fixexd point theory and applications

JongKyu Kim¹  Nan-jing Huang²  Xue-song Li² 

[1] Department of Mathematics, Kyungnam University, Kyungnam, Republic of Korea;Department of Mathematics, Sichuan University, Chengdu, China

关键词: Hilbert Space;    Approximation Method;    Differential Geometry;    Strong Convergence;    Iteration Process;   

DOI  :  10.1155/2011/783502

学科分类：数学（综合）

来源: SpringerOpen

【 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).

【 授权许可】

CC BY