| 关于M-PN空间中的非线性算子 |
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| 引用本文： | 叶梅燕,朱传喜,张小芝.关于M-PN空间中的非线性算子[J].应用泛函分析学报,2009,11(1):58-61. |
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| 作者姓名： | 叶梅燕 朱传喜 张小芝 |
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| 作者单位： | 南昌大学数学系,南昌,330031 |
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| 基金项目： | 国家自然科学基金，江西省自然科学基金 |
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| 摘 要： | 在Menger概率线性赋范空间中，利用该空间中的Leray-Schauder拓扑度理论，研究非线性算子T，建立了紧连续算子了T有固有值γ和δW上存在对应于γ的固有元的一系列充分条件．同时，也改进和推广了若干个重要结论。
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| 关 键 词： | M-PN空间 紧连续算子 拓扑度 算子 |
On Nonlinear Operator in M-PN Space |
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| YE Mei-yan,ZHU Chuan-xi,ZHANG Xiao-zhi.On Nonlinear Operator in M-PN Space[J].Acta Analysis Functionalis Applicata,2009,11(1):58-61. |
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| Authors: | YE Mei-yan ZHU Chuan-xi ZHANG Xiao-zhi |
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| Institution: | ( Department of Mathematics, Nanchang University, Nanchang 330031, China) |
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| Abstract: | Some problems of nonlinear operator T are investigated in Menger PN space, utilizing Laray-Scbauder topological degree theorem. A series of sufficient conditions for which the compact continuous operator T has an intrinsic value it and has an intrinsic element corresponding with it λ on W are established. Meanwhile, some important conclusions are improved and generalized. |
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| Keywords: | M-PN space compact continuous operator topological degree operator |
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