| 李刚.Banach空间上非Lipschitz映射的渐近行为(英文)[J].数学研究及应用,1998,18(3):319~325 |
| Banach空间上非Lipschitz映射的渐近行为(英文) |
| Asymptotic Behavior of Non-Lipschitzian Mappings in Banach Spaces |
| 投稿时间：1995-09-15 |
| DOI：10.3770/j.issn:1000-341X.1998.03.001 |
| 中文关键词: |
| 英文关键词:directed system asymptotica behavior asymptotically nonexpansive type mappings. |
| 基金项目: |
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| 中文摘要: |
| 设Ｃ是具Ｆｒéｃｈｅｔ可微范数的一致凸Ｂａｎａｃｈ空间Ｅ的非空凸闭子集，Ｇ是定向集．｛Ｔｔ：ｔ∈Ｇ｝是Ｃ上的渐近非扩张型映照．本文给出了｛Ｔｔ：ｔ∈Ｇ｝的弱收敛定理． |
| 英文摘要: |
| Let C be a nonempty bounded closed convex subset of a uniformly convex Banach space with a Fréchet differentiable norm, and G be a directed system , let T= {Tｔ:t∈G} be asymptotically nonexpansive type mappings on C . We give the weak convergence theorem of {Tｔ:t∈G} in this paper. |
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