| 偏好意义下的Pareto极值存在性定理及其应用 |
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| 引用本文： | 张金清.偏好意义下的Pareto极值存在性定理及其应用[J].系统科学与数学,1999,19(4):472-477. |
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| 作者姓名： | 张金清 |
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| 作者单位： | 山东财政学院应用数学研究室!济南２５００１４ |
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| 基金项目： | 国家自然科学基金，国家教委博士点基金 |
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| 摘 要： | 本文给出了偏好意义下的Ｐａｒｅｔｏ极值存在性定理．作为应用，得到了推广的Ｗｅｉｅｒｓｔｒａｓｓ定理以及非连续集值增算子的不动点定理．
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| 关 键 词： | Pareto极值原理 偏好序 相对紧集 不动点 |
EXISTENCE THEOREMS FOR PARETO EXTREMUM WITH RESPECT TO PREFERENCE ORDERING AND APPLICATIONS |
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| Jin Qing ZHANG.EXISTENCE THEOREMS FOR PARETO EXTREMUM WITH RESPECT TO PREFERENCE ORDERING AND APPLICATIONS[J].Journal of Systems Science and Mathematical Sciences,1999,19(4):472-477. |
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| Authors: | Jin Qing ZHANG |
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| Institution: | Department of the Applied Mathematics, Shandong Finance institute, Jinan 250014,P.R.China |
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| Abstract: | in this paper, existence theorems for Pareto extremum with respect to apreference ordering are given. As applications, the generalized Weierstrass's theorem and anew theorem of the fixed point for discontinuous set-valued operators are obtained. |
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| Keywords: | Pareto extremum theorem preference ordering relatively compact set fixedpoints |
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