| 广义不变凸多目标半无限规划的鞍点条件 |
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| 引用本文： | 李向有,张庆祥.广义不变凸多目标半无限规划的鞍点条件[J].应用数学与计算数学学报,2013(4):501-507. |
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| 作者姓名： | 李向有 张庆祥 |
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| 作者单位： | 延安大学数学与计算机学院,陕西延安716000 |
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| 基金项目： | 国家自然科学基金资助项目（60873099）;延安大学自然科学专项基金资助项目（YDQ2013-07） |
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| 摘 要： | 利用广义代数运算,定义了一类不变凸函数和不完全向量值Lagrange函数的鞍点,研究了涉及此类函数的多目标半无限规划问题,得到了广义鞍点的必要性和充分性条件.在更弱的凸性条件下,得到了几个重要结果.
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| 关 键 词： | 广义代数运算 （h φ）-ρ不变凸函数 多目标 （h φ）鞍点 |
Saddle point condition of multiple-objective semi-infinite programming with generalized invex function |
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| LI Xiang-you,ZHANG Qing-xiang.Saddle point condition of multiple-objective semi-infinite programming with generalized invex function[J].Communication on Applied Mathematics and Computation,2013(4):501-507. |
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| Authors: | LI Xiang-you ZHANG Qing-xiang |
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| Institution: | (College of Mathematics and Computer Science, Yan＇an University Yan＇an 716000, Shaanxi Province, China) |
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| Abstract: | A class of invex functions and an incomplete vector valued Lagrange saddle point are defined by the Ben-Tal generalized algebraic operation, and the multiple-objective semi-infinite programming involving these invex functions is re- searched. Generalized saddle point necessary conditions and sufficient conditions are obtained, and many important results are obtained under weaker convexity. |
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| Keywords: | generalized algebraic operation （h φ） - p invex function multiple- objective （h φ） saddle point |
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