| 可逆的渐近非扩张型半群的遍历定理 |
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| 引用本文： | 王为民.可逆的渐近非扩张型半群的遍历定理[J].数学研究及应用,1997,17(2):229-233. |
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| 作者姓名： | 王为民 |
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| 作者单位： | 浙江工业大学基础部 |
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| 摘 要： | 本文在Ｈｉｌｂｅｒｔ空间中证明了右可逆的连续渐近非扩张型半群的遍历保核收缩存在定理，并讨论了可控的连续渐近非扩张型半群的遍历收敛定理
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| 关 键 词： | 渐近非扩张型半群 非扩张保核收缩 遍历定理 |
Ergodic Theorems for Reversible Semigroups of Asymptotically Nonexpansive Type |
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| Wang Weimin.Ergodic Theorems for Reversible Semigroups of Asymptotically Nonexpansive Type[J].Journal of Mathematical Research with Applications,1997,17(2):229-233. |
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| Authors: | Wang Weimin |
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| Affiliation: | Zhejiang Univ. of Tech.; Hangzhou 310014 |
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| Abstract: | In this paper, the existence theorem of ergodic retraction for a right reversible semigroup of asymptotically nonexpansive type is proved in the framework of Hilbert space. We discuss the ergodic convergence. |
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| Keywords: | semigroup of asymptotically nonexpansive type nonexpansive retraction ergodic theorem |
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