Strong convergence theorems for nonexpansive nonself-mappings

Strong convergence theorems for nonexpansive nonself-mappings
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DOI:
10.1016/0362-546x(94)e0059-p
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发表时间:
1995-01
影响因子:
1.4
通讯作者:
Hong-Kun Xu;Ximing Yin
Hong-Kun Xu;Ximing Yin
中科院分区:
数学2区
文献类型:
--
作者:
Hong-Kun Xu;Ximing Yin

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设C是Banach空间X的一个非空闭凸子集,T:C-*X是一个非扩张映射(即对所有的x,ye C都有II Tx-Tyll<-IIx-Yll)。给定Aue C和ATE(0,1),我们可以定义一个收缩ST:C--*X
Let C be a nonempty closed convex subset of a Banach space X and T: C-* X be a nonexpansive mapping (ie II Tx-Tyll<-IIx-yll for all x, ye C). Given aue C and ate (0, 1), we can define a contraction St: C--* X by