| 渐近非扩张型半群殆轨道的强遍历收敛定理 |
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| 引用本文： | 张基益,李刚. 渐近非扩张型半群殆轨道的强遍历收敛定理[J]. 数学的实践与认识, 2013, 43(12) |
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| 作者姓名： | 张基益 李刚 |
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| 作者单位： | 1. 连云港师范高等专科学校初等教育系,江苏 连云港 222006;扬州大学数学科学学院,江苏扬州 225002
2. 扬州大学数学科学学院,江苏扬州,225002 |
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| 摘 要： | 设H是一个Hilbert空间,G是一个右可逆拓扑半群,在G上引入渐近殆非扩张曲线u(·),将具等距的渐进殆非扩张曲线的遍历定理应用到非Lipschitzian右可逆半群的殆轨道,证明了渐近非扩张型半群殆轨道的强遍历收敛定理,推广了已有的结果.
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| 关 键 词： | 遍历定理 渐进非扩张型半群 殆轨道 |
The Stongly Theorem for Asymptotically Nonexpansive Type Semigroup and the Almost-orbit |
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| ZHANG Ji-yi , LI Gang. The Stongly Theorem for Asymptotically Nonexpansive Type Semigroup and the Almost-orbit[J]. Mathematics in Practice and Theory, 2013, 43(12) |
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| Authors: | ZHANG Ji-yi LI Gang |
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| Abstract: | In this paper,Let H be a Hilbert space,G is a right reversible semigroup,u(·) is an asymptotically almost nonexpansive curve.This wrok proves the strong ergodic theorem for asymptotically nonexpansive type semigroup by using the strong ergodic theorem for asymptotically almost non-expansive cureves of reversible semigroup in non-lipschitzian almost-orbit of right reversible semigroup,and extends some results. |
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| Keywords: | ergodic theorem asymptotically non-expansive type the almost-orbit |
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