| 可逆Lipschitz半群的弱收敛性 |
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| 引用本文： | 徐洪坤.可逆Lipschitz半群的弱收敛性[J].华东理工大学学报(自然科学版),1991(4). |
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| 作者姓名： | 徐洪坤 |
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| 作者单位： | 华东化工学院应用数学研究所 |
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| 摘 要： | 讨论了一类Lipschitz半群的弱收敛性问题。在Hilbert空间中证明了弱渐近正则性隐含半群轨道的弱收敛性;而在具有Frechet可微范数的一致凸Banach空间中证明了渐近正则性隐含半群轨道的弱收敛性。本文还讨论了收缩核的存在性问题。
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| 关 键 词： | 不动点 收敛 半群 希尔伯特空间 一致凸赋范空间 |
Weak Convergence for Reversible Lipschitzian Semigroups |
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| Xu Hongkun.Weak Convergence for Reversible Lipschitzian Semigroups[J].Journal of East China University of Science and Technology,1991(4). |
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| Authors: | Xu Hongkun |
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| Institution: | Institute of Applied Mathematics |
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| Abstract: | The weak convergence for a class of Lipschitzian semigroups is discussed. It is proved that in a Hilbert space the weak asymptotic regularity implies the weak convergence of the semigroup; while in a uniformly convex Banach space with a Frechet differentiable norm, the asymptotic regularity implies the weak convergence of the semigroup. The existence of a retract for the semigroup is also discussed. |
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| Keywords: | fixed point convergence semigroup Hilbert space uniformly convex normed space |
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