| Banach空间中多目标规划的局部有效解的必要条件 |
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| 引用本文： | 李师正,张玉芬.Banach空间中多目标规划的局部有效解的必要条件[J].经济数学,1999(2). |
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| 作者姓名： | 李师正 张玉芬 |
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| 作者单位： | 山东师范大学!济南，250014，山东师范大学!济南，250014 |
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| 摘 要： | 本文对Ｂａｎａｃｈ 空间中的多目标规划的局部有效解提出Ｆｒｉｔｚ Ｊｏｈｎ 必要条件和Ｋｕｈｎ－Ｔｕｃｋｅｒ必要条件，并且证明了多目标规划的Ｌａｇｒａｎｇｅ 正则性等价于一个标量规划问题的Ｌａｇｒａｎｇｅ 正则性．
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| 关 键 词： | 局部有效解 FritzJohn条件 Lagrange正则性 Kuhn-Tucker条件 Mangasarian-Fromowitz条件 |
NECESSARY CONDITIONS OF LOCAL EFFICIENT SOLUTION FOR MULTIOBJECTIVE PROGRAMMING IN BANACH SPACES |
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| Li Shizheng,Zhang Yufen.NECESSARY CONDITIONS OF LOCAL EFFICIENT SOLUTION FOR MULTIOBJECTIVE PROGRAMMING IN BANACH SPACES[J].Mathematics in Economics,1999(2). |
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| Authors: | Li Shizheng Zhang Yufen |
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| Abstract: | This paper offers a Fritz John type necessary condition and a Kuhn Tucker type necessary condition for local efficient solution of multiobjective programming in Banach space.Furthermore,it is proved that Lagrange regulality of a multiobjective programming problem is equivalent to Lagrange regularity of a scalar programming problem. |
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| Keywords: | Locar efficient solution Fritz John condition Lagrange regularity Kuhn Tucker condition Mangasarian Fromowitz condition |
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