Strong Convergence Theorems of Ishikawa Iteration Process With Errors For Fixed points of Lipschitz Continuous Mappings in Banach Spaces

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题名:	Strong Convergence Theorems of Ishikawa Iteration Process With Errors For Fixed points of Lipschitz Continuous Mappings in Banach Spaces
作者:	林炎成(Lin,Yen-Cherng)
贡献者:	通識教育中心
日期:	2004-05-28
上传时间:	2009-09-04 16:54:14 (UTC+8)
摘要:	Let q>1 and E be a real q-uniformly smooth Banach space, K be a nonempty closed convex subset of E and T:K→K be a Lipschitz continuous mapping. Let {un} and {vn } be bounded sequences in K and {αn} and {βn } be real sequences in [0,1] satisfying some restrictions. Let {xn} be the sequence generated from an arbitrary x1 K by the Ishikawa iteration process with errors: yn = (1-βn) xn +βn T xn + vn , xn+1= (1-αn) xn +αn Tyn + un , n≧1. Sufficient and necessary conditions for the strong convergence { xn } toa fixed point of T is established.
關聯:	International Conference of Analysis and Its Applications
显示于类别:	[通識教育中心] 會議論文

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