| Banach空间中非Lipschitzian交换非线性拓扑半群的遍历理论 |
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| 引用本文： | 李刚,马吉溥. Banach空间中非Lipschitzian交换非线性拓扑半群的遍历理论[J]. 数学学报, 1997, 40(2): 191-201. DOI: cnki:ISSN:0583-1431.0.1997-02-004 |
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| 作者姓名： | 李刚 马吉溥 |
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| 作者单位： | [1]扬州大学师范学院数学系 [2]南京大学数学系 |
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| 基金项目： | 国家自然科学基金，高校博士点基金 |
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| 摘 要： | 本文在满足opial条件或存在Frechet可微范数的一致凸Banach空间中,给出了非Lipschitzian交换拓扑半群的遍历收敛定理及弱收敛定理.
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| 关 键 词： | 非线性拓扑半群 遍历定理 渐近行为 |
| 收稿时间： | 1995-05-29 |
Nonlinear Ergodic Theorems for Commutative Semigroups in Banach Spaces |
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| Li Gang. Nonlinear Ergodic Theorems for Commutative Semigroups in Banach Spaces[J]. Acta Mathematica Sinica, 1997, 40(2): 191-201. DOI: cnki:ISSN:0583-1431.0.1997-02-004 |
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| Authors: | Li Gang |
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| Affiliation: | Li Gang (Department of Mathematics, Teacher College, Yangzhou University, Yangzhou 225002, China)Ma Jipu (Department of Mathematics, Nanjing University, Nanjing 210093, China) |
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| Abstract: | In this paper, we provide nonlinear ergodic theorems and weak convergence theorems for commutative semigroups of asymptotically nonexpansive type mappings iu uniformly convex Banach spaces that satisfy opial's condition or have a Frechet differentiable norm. |
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| Keywords: | Nonlinear topological semigroup Ergodic theorem Asymptotic behavior |
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