| Duality for Dini-Invex Nonsmooth Multiobjective Programming |
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| 作者姓名： | 李忠范 刘庆怀 杨荣 |
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| 作者单位： | School of Mathematics，Jilin University，Changchun，130012，School of Mathematics，Jilin University，Changchun，130012，School of Mathematics，Jilin University，Changchun，130012 |
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| 摘 要： | In this paper we generalize the concept of a Dini-convex function with Dini derivative and introduce a new concept - Dini-invexity. Some properties of Dini invex functions are discussed. On the base of this, we study the Wolfe type duality and Mond-Weir type duality for Dini-invex nonsmooth multiobjective programmings and obtain corresponding duality theorems.
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| 关 键 词： | 二元性定理 Dini-invex函数 非光滑系统 多目标规划 |
Duality for Dini-Invex Nonsmooth Multiobjective Programming |
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| LI Zhong-fan LIU Qing-hui and YANG Rong.Duality for Dini-Invex Nonsmooth Multiobjective Programming[J].Northeastern Mathematical Journal,2005,21(3):265-270. |
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| Authors: | LI Zhong-fan LIU Qing-hui and YANG Rong |
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| Affiliation: | School of Mathematics, Jilin University, Changchun, 130012 |
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| Abstract: | In this paper we generalize the concept of a Dini-convex function with Dini derivative and introduce a new concept - Dini-invexity. Some properties of Dini invex functions are discussed. On the base of this, we study the Wolfe type duality and Mond-Weir type duality for Dini-invex nonsmooth multiobjective programmings and obtain corresponding duality theorems. |
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| Keywords: | Dini-invexity nonsmooth multiobjective programming duality |
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