| 局部凸拓朴线性空间中紧对的重合问题 |
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| 引用本文： | 张石生,黄毅生.局部凸拓朴线性空间中紧对的重合问题[J].四川大学学报(自然科学版),1990(1). |
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| 作者姓名： | 张石生 黄毅生 |
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| 作者单位： | 四川大学数学系
(张石生)，四川大学数学系(黄毅生) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 在局部凸拓扑线性空间中引入紧对的重合指数的概念,并研究这种重合指数的基本性质.得出了关于重合点和不动点的几个存在性定理.作为所得结果的应用,在文末给出了局部凸空间中紧对的“非线性选择原理”及“Leray-Schauder选择原理”,本文结果改进和发展了郭大钧7]的某些结果.
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| 关 键 词： | 紧对 重合指数 重合点 |
COINCIDENCE PROBLEM FOR COMPACT MAPPINGS PAIRS IN LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES |
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| Zhang Shisheng Huang Yisheng.COINCIDENCE PROBLEM FOR COMPACT MAPPINGS PAIRS IN LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES[J].Journal of Sichuan University (Natural Science Edition),1990(1). |
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| Authors: | Zhang Shisheng Huang Yisheng |
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| Institution: | Department of mathematics |
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| Abstract: | The purpose of this paper is to introduce the concept of the coincidence index in locally convex topological vector spaces and to study the basic properties of this kind of indexes. Some coincdence point and fixed point theorems are shown. As applications, we utilize the results presented in this paper to establish the nonlinar selection principle and the Leray-Schauder selection principle for compact mapping pairs in locally convex spaces. |
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| Keywords: | coincidence index compact mapping pair coincidence point |
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