| 锥约束多目标规划的二阶对称对偶性质 |
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| 引用本文： | 陈秀宏.锥约束多目标规划的二阶对称对偶性质[J].应用数学,2006,19(1):127-133. |
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| 作者姓名： | 陈秀宏 |
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| 作者单位： | 淮阴师范学院数学系,江苏,淮安,223001 |
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| 基金项目： | SupportedbytheNaturalScienceFoundationofJiangsuHighSchool(03KJB110012)andJiangsuEducationOffice(00KJD110001,01KJD110005) |
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| 摘 要： | 给出一对锥约束多目标非线性规划的二阶对称对偶问题,以及二阶F凸函数类的概念.在二阶F凸假设下证明了真有效解的对偶性质———弱对偶性、强对偶性及逆对偶性.
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| 关 键 词： | 多目标规划 二阶对称规划 锥约束 真有效解 二阶F-凸性 对偶定理 |
| 文章编号： | 1001-9847(2006)01-0127-07 |
| 收稿时间： | 2005-03-24 |
| 修稿时间： | 2005年3月24日 |
Second-order Symmetric Duality for a Multiobjective Programming Problem with Cone Constraints |
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| CHEN Xiu-hong.Second-order Symmetric Duality for a Multiobjective Programming Problem with Cone Constraints[J].Mathematica Applicata,2006,19(1):127-133. |
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| Authors: | CHEN Xiu-hong |
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| Abstract: | A pair of second order symmetric dual problems in multiobjective nonlinear programming with cone constraints is formulated,and the definitions of a class of second-order F-convex functions are introduced.Then,under the second-order F-convex assumptions,dual theorems (weak duality,strong duality and converse duality) related to the properly efficient solution are proved. |
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| Keywords: | Multiobjective program Second-order symmetric programs Cone constraint Properly efficient solution Second-order F- convexity Duality theorems |
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