| 曾六川.关于非扩张映象的不动点逼近的Ishikawa迭代程序(英文)[J].数学研究及应用,2003,23(1):33~39 |
| 关于非扩张映象的不动点逼近的Ishikawa迭代程序(英文) |
| Ishikawa Iteration Process for Approximating Fixed Points of Nonexpansive Mappings |
| 投稿时间：2000-04-03 |
| DOI：10.3770/j.issn:1000-341X.2003.01.006 |
| 中文关键词: |
| 英文关键词:fixed point nonexpansive mapping Ishikawa iteration process uniformly convex Banach space. |
| 基金项目: |
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| 中文摘要: |
| 设E是一致凸Banach空间,满足Opial条件或具有Frechet可微范数.又设C是E的有界闭凸子集.若T:C→C是非扩张映象,则对任给的初始数据x0∈C,由Ishikawa迭代程序xn+1=tnT(snTxn+(1-sn)xn)+(1-tn)xn,n≥0,定义的序列{xn}弱收敛到T的 |
| 英文摘要: |
| Let E be a uniformly convex Banach space which satisfies Opial’s conditionor has a Frechet differentiable norm.and C be a bounded closed convex subset of E.If T:C→C is a nonexpansive mapping.then for any initial data x0∈C,the Ishikawaiteration process {xn},defined by xn=tnT(snTxn+(1-sn)xn)+(1-tn)xn,n≥0,converges weakly to a fixed point of T,where{tn}and{sn}are sequences in[0,1]withsome restrictions. |
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