| 一类非光滑规划问题的最优性和对偶 |
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| 引用本文： | 冯芙叶,贾继红,聂成. 一类非光滑规划问题的最优性和对偶[J]. 纯粹数学与应用数学, 2005, 21(3): 246-249 |
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| 作者姓名： | 冯芙叶 贾继红 聂成 |
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| 作者单位： | 空军工程大学导弹学院,陕西三原,713800;东莞理工学院数学系,广东东莞,523000;东莞理工学院数学系,广东东莞,523000;空军工程大学导弹学院,陕西三原,713800 |
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| 摘 要： | 研究一类非光滑多目标规划问题,给出了该规划问题的三个最优性充分条件.同时,研究了该问题的对偶问题,给出了相应的弱对偶定理和强对偶定理.
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| 关 键 词： | 有效解 弱对偶与强对偶 最优性条件 |
| 文章编号： | 1008-5513（2005）03-0246-04 |
| 收稿时间： | 2004-02-30 |
| 修稿时间： | 2004-02-29 |
Optimality and duality for a class of non-smooth programming problems |
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| FENG Fu-ye,JIA Ji-hong,NIE Cheng. Optimality and duality for a class of non-smooth programming problems[J]. Pure and Applied Mathematics, 2005, 21(3): 246-249 |
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| Authors: | FENG Fu-ye JIA Ji-hong NIE Cheng |
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| Abstract: | A class of non-smooth programming problems is studied in this paper. Three sufficient optimality conditions are obtained for this programming. At the same time, duality problems are established also and both weak duality theorem and strong duality theorem are derived. |
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| Keywords: | efficient solutions optimality conditions weak duality and strong duality |
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