| 非紧完备L-凸度量空间中的GLSKKM定理及其对抽象经济的应用(英文) |
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| 引用本文： | 文开庭.非紧完备L-凸度量空间中的GLSKKM定理及其对抽象经济的应用(英文)[J].四川师范大学学报(自然科学版),2010,33(2). |
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| 作者姓名： | 文开庭 |
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| 作者单位： | 毕节学院,数学系,贵州,毕节,551700 |
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| 基金项目： | 贵州省教育厅自然科学研究重点基金 |
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| 摘 要： | 建立了非紧完备L-凸度量空间中的GLSKKM定理.作为应用,研究了极大元集的性质,获得了一个不动点定理.最后,研究了非紧完备L-凸度量空间中的定性对策和抽象经济的平衡点集的性质.
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| 关 键 词： | L-凸度量空间 极大元 不动点 抽象经济 平衡 |
A GLSKKM Theorem in Noncompact Complete L-Convex Metric Spaces and Its Applications to Abstract Economies |
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| WEN Kai-ting.A GLSKKM Theorem in Noncompact Complete L-Convex Metric Spaces and Its Applications to Abstract Economies[J].Journal of Sichuan Normal University(Natural Science),2010,33(2). |
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| Authors: | WEN Kai-ting |
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| Institution: | WEN Kai-ting(Department of Mathematics,Bijie College,Bijie 551700,Guizhou) |
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| Abstract: | In this paper,a GLSKKM theorem is established in noncompact complete L-convex metric spaces.As applications,the properties of maximal element sets are shown and a fixed point theorem is obtained.Finally,the properties of equilibrium sets for abstract economies and qualitative games in noncompact complete L-convex metric spaces are yielded. |
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| Keywords: | L-convex metric space maximal element set fixed point abstract economy equilibrium |
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