| 空间中渐近非扩张型映射的渐近行为 |
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| 引用本文： | 朱兰萍,李刚.空间中渐近非扩张型映射的渐近行为[J].数学研究及应用,2009,29(1):129-136. |
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| 作者姓名： | 朱兰萍 李刚 |
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| 作者单位： | 扬州大学数学科学学院, 江苏 扬州 225002;扬州大学数学科学学院, 江苏 扬州 225002 |
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| 基金项目： | 国家自然科学基金(No.10571150);江苏省教育厅自然科学基金(No.07KJB110131);杨州大学自然科学基金(No.FK0513101). |
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| 摘 要： | Let X be a uniformly convex Banach space X such that its dual X^＊ has the KK property. Let C be a nonempty bounded closed convex subset of X and G be a directed system. Let ={Tt ： t ∈ G} be a family of asymptotically nonexpansive type mappings on C. In this paper, we investigate the asymptotic behavior of {Ttx0 ： t∈ G} and give its weak convergence theorem.
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| 关 键 词： | 群论 群的推广 拓扑理论 研究 |
| 收稿时间： | 2006/12/14 0:00:00 |
| 修稿时间： | 2007/7/13 0:00:00 |
Asymptotic Behavior of Asymptotically Nonexpansive Type Mappings in Banach Space |
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| ZHU Lan Ping and LI Gang.Asymptotic Behavior of Asymptotically Nonexpansive Type Mappings in Banach Space[J].Journal of Mathematical Research with Applications,2009,29(1):129-136. |
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| Authors: | ZHU Lan Ping and LI Gang |
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| Institution: | College of Mathematics, Yangzhou University, Jiangsu 225002, China;College of Mathematics, Yangzhou University, Jiangsu 225002, China |
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| Abstract: | Let $X$ be a uniformly convex Banach space $X$ such that its dual $X^*$ has the KK property. Let $C$ be a nonempty bounded closed convex subset of $X$ and $G$ be a directed system. Let $\Im=\{T_{t}: t\in{G}\}$ be a family of asymptotically nonexpansive type mappings on $C$. In this paper, we investigate the asymptotic behavior of $\{T_{t}x_0: t\in{G}\}$ and give its weak convergence theorem. |
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| Keywords: | asymptotically nonexpansive type mappings Kadec-Klee property directed system asymptotic behavior |
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