Approximation of fixed points for nonexpansive semigroups in Hilbert spaces

被引：0
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作者：
Yonghong Yao
Jung Im Kang
Yeol Je Cho
Yeong-Cheng Liou
机构：
[1] Tianjin Polytechnic University,Department of Mathematics
[2] National Institute for Mathematical Sciences,Department of Mathematics Education and the RINS
[3] KT Daeduk 2 Research Center,Department of Information Management
[4] Gyeongsang National University,undefined
[5] Cheng Shiu University,undefined
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
nonexpansive semigroup; common fixed point; algorithms; projection;
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摘要：
In this paper, we propose two new algorithms for finding a common fixed point of a nonexpansive semigroup in Hilbert spaces and prove some strong convergence theorems for nonexpansive semigroups. Our results improve and generalize the corresponding results given by Shimizu and Takahashi (J. Math. Anal. Appl. 211:71-83, 1997), Shioji and Takahashi (Nonlinear Anal. TMA 34:87-99, 1998), Lau et al. (Nonlinear Anal. TMA 67:1211-1225, 2007) and many others.
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