| Banach空间中渐近非扩张型半群的遍历定理 |
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| 引用本文： | 林毅,潘红燕.Banach空间中渐近非扩张型半群的遍历定理[J].大学数学,2010,26(6). |
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| 作者姓名： | 林毅 潘红燕 |
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| 摘 要： | 对带Opial条件的Banach空间中非扩张半群的不动点理论进行推广,得到了带Opial条件的Banach空间中渐近非扩张型半群的遍历收敛定理.
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| 关 键 词： | 带Opial条件的Banach空间 渐近非扩张型半群 子网 弱紧凸子集 |
Ergodic Theorem for the Semi-group of Asymptotically Nonexpansive Type Mappings in Banach Spaces |
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| LIN Yi,PAN Hong-yan.Ergodic Theorem for the Semi-group of Asymptotically Nonexpansive Type Mappings in Banach Spaces[J].College Mathematics,2010,26(6). |
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| Authors: | LIN Yi PAN Hong-yan |
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| Abstract: | This paper proves ergodic theorem for the semi-group of asymptotically nonexpansive type mappings in Banach spaces with the Opial property.Suppose E is a Banach space with the Opial property,C is a weak compact and convex subset of E and T={T(t):t≥0} is an asymptotically nonexpansive type semi-group of C.If M(τβ,z)wz for z∈C,then T(t)zwz. |
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| Keywords: | Banach space with the Opial property asymptotically non-expansive type semi-group subnet weak compact and convex subset |
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