| 一类不可微规划的高阶对称对偶性 |
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| 引用本文： | 陈秀宏.一类不可微规划的高阶对称对偶性[J].应用数学,2004,17(3):370-374. |
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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： | SupportedinpartbytheNaturalScienceFoundationofJiangsuHighSchool(0 3KJB110 0 12 )andJiangsuEducationOffice (0 0KJD110 0 0 1,0 1KJD110 0 0 5 |
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| 摘 要： | 本文我们利用一个可微函数给出了一对高阶对称规划问题 ,其中目标函数包含了Rn 中一紧凸集的支撑函数 .在引入高阶F 凸性 (F 伪凸性 ,F 拟凸性 )后 ,证明了高阶弱、高阶强及高阶逆对称对偶性质 .
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| 关 键 词： | 不可微规划 高阶对称对偶性 高阶F-凸性 支撑函数 |
Higher-order Symmetric Duality for a Class of Nondifferentiable Programs |
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| Abstract.Higher-order Symmetric Duality for a Class of Nondifferentiable Programs[J].Mathematica Applicata,2004,17(3):370-374. |
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| Authors: | Abstract |
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| Abstract: | In this paper,we formulate a pair of higher-order symmetric models by using a differentiable function,where the objective functions contain a support function of a compact convex set in Rn.We introduce the concept of higher-order F-convexity (F-pseudo-convexity,F-quasi-convexity),and establish the higher-order weak,higher-order strong and higher-order converse duality theorems. |
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| Keywords: | Nonlinear nondifferentiable programs Higher-order symmetric duality Higher-order F-convexity Support function |
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