| 多目标分式变分问题的混合对偶性 |
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| 引用本文： | 曹志刚,陈世国. 多目标分式变分问题的混合对偶性[J]. 数学的实践与认识, 2006, 36(10): 141-146 |
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| 作者姓名： | 曹志刚 陈世国 |
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| 作者单位： | 空军第一航空学院数学教研室,河南,信阳,464000 |
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| 摘 要： | 在广义B-Ⅰ凸性条件下,建立了多目标分式变分问题的混合对偶模型,使得M ond-W e ir型对偶和W o lfe型成为其特殊情况,并建立了关于有效解的混合对偶理论.
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| 关 键 词： | 分式变分问题 混合对偶 有效解 B-不变凸 |
| 修稿时间： | 2006-03-08 |
Mixed Type Duality for Multiobjective Fractional Variational Problems |
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| CAO Zhi-gang,CHEN Shi-guo. Mixed Type Duality for Multiobjective Fractional Variational Problems[J]. Mathematics in Practice and Theory, 2006, 36(10): 141-146 |
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| Authors: | CAO Zhi-gang CHEN Shi-guo |
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| Abstract: | A mixed type dual for a class of multiobjective fractional variational problems is formulated which Wolfe and Mond-weir type duals are special cases,under the generalized B-I convexity on the functions involved,duality theorems are proved through a parametric to relate properly efficient solutions of the primal and dual problem. |
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| Keywords: | fractional variational problem mixed type duality efficient solution B-Invexity |
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