| 带紧扰动的集值(S)_+型映射的拓扑度及其应用 |
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| 引用本文： | 周海云.带紧扰动的集值(S)_+型映射的拓扑度及其应用[J].军械工程学院学报,1991(4). |
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| 作者姓名： | 周海云 |
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| 作者单位： | 军械工程学院数学教研室 |
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| 摘 要： | 本文利用 Michael 连续选择定理与 F.E Browder 次连续(S)_+型映射度理论相结合的方法,构造了带紧扰动的1.s.c.集值(S)_+型映射的拓扑度,并讨论了作为其应用的不动点与值域问题.
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| 关 键 词： | Michael 连续选择定理 拓扑度 紧扰动 不动点定理 值域定理 |
THE TOPOLOGICAL DEGREE FOR COMPACT PERTURBATIONS OF MULTIVALUED MAPPING OF TYPE(S)_+AND APPLICATION |
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| Zhou Haiyun.THE TOPOLOGICAL DEGREE FOR COMPACT PERTURBATIONS OF MULTIVALUED MAPPING OF TYPE(S)_+AND APPLICATION[J].Journal of Ordnance Engineering College,1991(4). |
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| Authors: | Zhou Haiyun |
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| Institution: | Teaching and Research Section of Mathematics |
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| Abstract: | In this paper,we define a topological degree function for T+C by appealing to the continuous selection theorem and F E Browder degree,where T is a l.s.c. multivalued mapping of type(S)+and C is a completely continuous mapping.As its application we obtain some new fixed point theorems and range theorems. |
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| Keywords: | Michael's continuous selection theorem topological degree compact perturbations flied point theorems range theorems |
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