| 多目标变分问题的混合对偶性 |
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| 引用本文： | 陈世国,祁传达. 多目标变分问题的混合对偶性[J]. 数学的实践与认识, 2003, 33(12): 97-102 |
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| 作者姓名： | 陈世国 祁传达 |
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| 作者单位： | 1. 空军第一航空学院数学室,河南,信阳,464000
2. 信阳师范学院数学系,河南,信阳,464000 |
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| 摘 要： | 本文给出了一类多目标变分问题的混合对偶 ,使得 Wolfe型对偶和 Mond-Weir型对偶是其特殊情况 ,并在函数 (F ,ρ) -凸性的条件下建立了多目标变分问题关于有效解的混合对偶理论 .
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| 关 键 词： | 多目标变分问题 有效解 混合对偶 (F,ρ)-凸性 |
| 修稿时间： | 2003-07-29 |
Mixed Type Duality for Multiobjective Variational Problems |
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| CHEN Shi-guo , QI Chuan-da. Mixed Type Duality for Multiobjective Variational Problems[J]. Mathematics in Practice and Theory, 2003, 33(12): 97-102 |
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| Authors: | CHEN Shi-guo QI Chuan-da |
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| Affiliation: | CHEN Shi-guo 1, QI Chuan-da 2 |
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| Abstract: | A mixed type dual for a class of multiobjective variational problems is first formulated which Wolfe and Mond-Weir type duals are special cases.under the generalized (F,ρ) -convexity on the functions involved, we established weak,strong,and strict converse duality theorems by using the concept of efficiency. |
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| Keywords: | multiobjective variational problem mixed type duality (F,ρ)-convexity |
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