| 关于多值函数的逼近问题 |
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| 引用本文： | 李雷,吴从炘. 关于多值函数的逼近问题[J]. 系统科学与数学, 2001, 21(4): 429-435 |
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| 作者姓名： | 李雷 吴从炘 |
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| 作者单位： | 1. 淮北煤炭师范学院教务处淮北235000
2. 哈尔滨工业大学数学系哈尔滨150001 |
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| 基金项目： | 国家自然科学基金资助课题. |
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| 摘 要： | 本文讨论了多值函数的逼近问题,得到关于非凸值多值函数的两个逼近定理,Cellina逼近定理和De Blasi-Myjak逼近定理被作为推论重新得到,最后,作为应用,证明了一个抽象经济模型的均衡存在性定理.
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| 关 键 词： | 多值函数 逼近 均衡. |
| 修稿时间： | 1999-04-14 |
ON PROBLEMS ABOUT APPROXIMATIONS OF MULTIFUNCTIONS |
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| Lei LI,Cong XIn WU. ON PROBLEMS ABOUT APPROXIMATIONS OF MULTIFUNCTIONS[J]. Journal of Systems Science and Mathematical Sciences, 2001, 21(4): 429-435 |
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| Authors: | Lei LI Cong XIn WU |
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| Affiliation: | (1)Department of Mathematics, Huaibei Coal Teachers College, Huaibei 235000,P.R.China;(2)Department of Mathematics, Harbin Institute of Technology, Harbin 150001,P.R.China |
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| Abstract: | In this paper, problems about approximation of multifunctions are discussed, two approximation theorems for nonconvex-valued multifunctions are obtained, Cellina approx-imation theorem and De Blasi-Myjak approximation theorem are given again as the corollaries. As an application, an equilibrium existence theorem of abstract economy is proved. |
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| Keywords: | Multifunction Approximation Equilibrium. |
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