| 凝聚场缺方向性的一个充分条件及其应用 |
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| 引用本文： | 赵增勤.凝聚场缺方向性的一个充分条件及其应用[J].曲阜师范大学学报,1991(4). |
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| 作者姓名： | 赵增勤 |
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| 作者单位： | 曲阜师范大学数学系 |
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| 摘 要： | 本文给出了凝聚场缺方向性的一个充分条件,从而推出凝聚场和 k 集压缩场其拓扑度等于零的充分条件.作为应用,得到了某些关于固有值及不动点的定理.
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| 关 键 词： | Banach 空间 凝聚场 k 集压缩算子 拓扑度 不动点 |
A Sufficient Condition for Condensing Field with Omitting a Direction and Its Application |
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| Zhao Zengqin.A Sufficient Condition for Condensing Field with Omitting a Direction and Its Application[J].Journal of Qufu Normal University(Natural Science),1991(4). |
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| Authors: | Zhao Zengqin |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper,we give a sufficient condition for condensing field withomitting a direction,and deduce a sufficient condition for condensing fieldand k-set contraction field with zero topological degree.As an application,wealso obtain some theorems on eigenvalue and fixed point. |
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| Keywords: | Banach space condensing field k-set contraction operator topological degree fixed point |
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