| 广义F—不变凸多目标规划的对偶性 |
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| 引用本文： | 贾继红. 广义F—不变凸多目标规划的对偶性[J]. 土木与环境工程学报, 1998, 20(1): 97-101 |
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| 作者姓名： | 贾继红 |
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| 作者单位： | 西北建筑工程学院 |
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| 摘 要： | 研究了Ｂａｎａｃｈ空间中含广义Ｆ－不变凸函数的多目标规划问题的对偶性。介绍了约束规格及引理１，讨论了这类多目标规划问题的ｗｏｌｆｅ型对偶和Ｍｏｎｄ－Ｗｅｉｒ型对偶，并在较弱Ｆ－不变凸的假设下获得了强对偶、弱对偶和其它一些对偶结果。
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| 关 键 词： | 对偶 有效解 多目标规划 F－不变凸函数 |
Duality in Multiple-Objective Optimization Involving Generalized F-invexity |
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| Jia Jihong. Duality in Multiple-Objective Optimization Involving Generalized F-invexity[J]. Journal of Civil and Environmental Engineering, 1998, 20(1): 97-101 |
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| Authors: | Jia Jihong |
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| Abstract: | This paper studies the duality of the Multiobjective optimization problem involving generalized F-invex functions in Banach space. The constraint qualification and lemma 1 are introduced. The Wolfe type of duality and Mond-Weir type of duality are obtained. Strong and weak duaity theorems and other results are given under weaker F- invexity assumptions. |
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| Keywords: | duality efficient solutions F-type I of function F-pseudo-type I of function F-quasi-type I of function |
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