| 一类不可微广义凸多目标规划的最优性条件和对偶 |
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| 引用本文： | 李伟,张可村.一类不可微广义凸多目标规划的最优性条件和对偶[J].工程数学学报,2012,29(3):419-422. |
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| 作者姓名： | 李伟 张可村 |
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| 作者单位： | 西安交通大学数学与统计学院,西安,710049 |
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| 摘 要： | 本文研究带不等式约束的不可微多目标规划问题,引入了广义d-I型一致不变凸函数的概念,证明了Pareto有效解和Pareto弱有效解的Karush-Kuhn-Tucker型充分条件.构造出了混合对偶模型,并证明了相应的对偶定理.
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| 关 键 词： | 多目标规划 最优性条件 广义凸函数 对偶定理 |
Optimality and Duality for a Class of Nondifferentiable Generalized Convex Multiobjective Programs |
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| LI Wei
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ZHANG Ke-cun.Optimality and Duality for a Class of Nondifferentiable Generalized Convex Multiobjective Programs[J].Chinese Journal of Engineering Mathematics,2012,29(3):419-422. |
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| Authors: | LI Wei ZHANG Ke-cun |
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| Affiliation: | (School of Mathematics and Statistics,Xi’an Jiaotong University,Xi’an 710049) |
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| Abstract: | The paper discusses the non-differentiable multiobjective programming problem with inequality constraints.For this class of problems,the concepts of the generalized d-type-I univexity function are introduced,and Karush-Kuhn-Tucker-type suffcient optimality conditions are proved.Moreover,a mixed duality model is constructed and duality theorems are established. |
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| Keywords: | multiobjective programming optimality conditions generalized convex functions duality theorem |
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