| 一类多目标非线性优化问题 |
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| 引用本文： | 朱伟芬,陈雄达.一类多目标非线性优化问题[J].上海第二工业大学学报,2011,28(2):106-112. |
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| 作者姓名： | 朱伟芬 陈雄达 |
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| 作者单位： | 同济大学数学系,上海,200092 |
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| 摘 要： | 多目标最优化问题广泛应用于工程技术、经济管理等诸多领域。许多数学工作者致力于多目标最优化理论的研究,给出了多目标优化问题最优解的必要条件和充分条件。近年来,广义凸函数也越来越受到人们的重视,人们从不同的角度提出了广义凸函数的概念。在文献提出的非线性多目标优化问题的研究基础上,给出了在常秩约束规范(CRCQ)下,这一类优化问题最优解的必要条件和充分条件。
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| 关 键 词： | Pareto最优解 G-invex KKT条件 CRCQ |
Optimality Conditions in Nondifferentiable Multi-objective Programming |
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| ZHU Wei-fen,CHEN Xiong-da.Optimality Conditions in Nondifferentiable Multi-objective Programming[J].Journal of Shanghai Second Polytechnic University,2011,28(2):106-112. |
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| Authors: | ZHU Wei-fen CHEN Xiong-da |
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| Affiliation: | ZHU Wei-fen,CHEN Xiong-da (Department of Mathematics,Tong Ji University,Shanghai 200092,P.R.China) |
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| Abstract: | The multi-objective optimization problems are widely used in engineering,economic management and so on.Many mathematicians committed to the research of multi-objective optimization theory,and necessary and sufficient conditions of the optimal solution of multi-objective optimization are given.In recent years,generalized convex functions play a more important role and many generalized convex functions are generalized from different perspectives.In this paper,necessary and sufficient conditions of the optimal... |
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| Keywords: | pateto optimal solution G-invex KKT condition CRCR |
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