| 没有线性和凸结构拓扑空间中的一个连续选择定理的应用 |
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| 引用本文： | 陆海曙.没有线性和凸结构拓扑空间中的一个连续选择定理的应用[J].南京大学学报(自然科学版),2013(2):135-152. |
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| 作者姓名： | 陆海曙 |
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| 作者单位： | 江苏理工学院商学院,常州213001 |
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| 基金项目： | Supported by the Planning Foundation for Humanities and Social Sciences of Ministry of Education of China （No. 12YJAZH084）. |
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| 摘 要： | 本文在没有任何线性和凸结构的一般拓扑空间中证明了一个新的连续选择定理．作为应用，在一般拓扑空间框架下得到了一些不动点定理，叠合点定理，极大极小不等式以及一个非空交定理．最后，本文给出了非空交定理的一些等价形式．
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| 关 键 词： | 连续选择，不动点定理，叠合点定理，极大极小不等式，集值映射 |
APPLICATIONS OF A CONTINUOUS SELECTION THEOREM IN TOPOLOGICAL SPACES WITHOUT LINEAR AND CONVEX STRUCTURE |
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| Lu Haishu.APPLICATIONS OF A CONTINUOUS SELECTION THEOREM IN TOPOLOGICAL SPACES WITHOUT LINEAR AND CONVEX STRUCTURE[J].Journal of Nanjing University: Nat Sci Ed,2013(2):135-152. |
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| Authors: | Lu Haishu |
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| Institution: | Lu Haishu (School of Business, Jiangsu University of Technology, 213001, Changzhou PRC) (：q--qlq, r,)l 2aoo) |
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| Abstract: | A new continuous selection theorem is proved in general topological spaces without any linear and convex structure, and next, as applications, some fixed-point theorems, coincidence theorems, minimax inequalities, and a nonempty intersection theorem are obtained in the setting of general topological spaces. Finally, this paper gives some equivalent formulations of the nonempty intersection theorem. |
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| Keywords: | continuous selection fixed-point theorem coincidence theorem minimaxinequality set-valued mapping |
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