| 某些半无限多目标规划的弱有效解和有效解的充分和必要条件 |
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| 引用本文： | 林棋桐,赵礼峰.某些半无限多目标规划的弱有效解和有效解的充分和必要条件[J].淮北煤炭师范学院学报(自然科学版),1993(3). |
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| 作者姓名： | 林棋桐 赵礼峰 |
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| 作者单位： | 福建宁德师专
(林棋桐)，淮北煤炭师范学院数学系(赵礼峰) |
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| 摘 要： | 郑英元、韩天雄在文1]中给出了某些半无限规划的最优性条件.本文把这一结果推广到多目标规划,并得到在某些条件下,弱有效解和有效解的充分和必要条件.
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| 关 键 词： | 半无限多目标规划 Slater条件 次微分 φ类凸函数 弱有效妥 有效解 |
The Necessary and Sufficient Conditions of Weak Effectiue Solutions and Effective Solutions to Certain Semi-infinite Multiple Objective Mathematical Programming |
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| Lin Qitong.The Necessary and Sufficient Conditions of Weak Effectiue Solutions and Effective Solutions to Certain Semi-infinite Multiple Objective Mathematical Programming[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1993(3). |
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| Authors: | Lin Qitong |
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| Institution: | Lin Qitong
(Ningde Teachers College)
Zhao Lifeng
(Dept. of Math.) |
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| Abstract: | The paper1]by zheng Yingyuan and Han TianXiong gave the optimum conrition of certain semi-infinite mathematical programming. In this article this result has been generalized to multiple objective mathematical programming and this article gets the necessary and sufficient conditions to weak effective solutions and effective solutions under certain circumstances. |
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