| 一个新型拓扑非空交定理及其在抽象经济平衡问题上的应用 |
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| 引用本文： | 汪达成 曹石遗. 一个新型拓扑非空交定理及其在抽象经济平衡问题上的应用[J]. 新疆大学学报(理工版), 1997, 14(4): 14-20 |
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| 作者姓名： | 汪达成 曹石遗 |
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| 作者单位： | [1]重庆师专数学系 [2]新疆大学数学系 |
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| 摘 要： | 本文证明了区间空间上的一个新型非空交定理，作为应用，欠得到区间空间向量值择一定理，极大极小定理、截口定理、不动点定理和抽象经济平衡点存在性定理。本文的结果部分地回答了（１，２）中提出的公开问题。
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| 关 键 词： | 区间空间 非空交定理 抽象经济平衡 拓扑空间 |
A New Topological Non-empty Intersection Theorem with Application to Equilibrium Problems For the Abstract Economics |
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| Wang Dacheng ,Cao Shiyi. A New Topological Non-empty Intersection Theorem with Application to Equilibrium Problems For the Abstract Economics[J]. Journal of Xinjiang University(Science & Engineering), 1997, 14(4): 14-20 |
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| Authors: | Wang Dacheng Cao Shiyi |
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| Affiliation: | Wang Dacheng ;Cao Shiyi(Chongqing Teachers College 632168 ) (Xinjiang University 830046 ) |
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| Abstract: | A new type of non-emPty intersection theorem is proved in interval spaces. As applications,some vectorvalued alternating theorems, minimax theorems, section theorems, fixed points theorems and existence theorems of equlibrium points for the abstract economics are obtained. In this paper,the open questions raised in[l,2) are partially answered. |
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| Keywords: | strongly W-complete interval space connected set W-convex set equilihrium Problem for the abstract economy |
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