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非光滑(F,α,ρ,d)-凸函数的多目标分式规划最优性条件 被引量:10

Optimality Conditions for Nonsmooth Multiobjective Fractional Programming with Nonsmooth(F,α,ρ,d)-Convexity
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摘要 在(F,α,,ρd)-凸函数的基础上定义了非光滑(F,α,,ρd)-凸函数,得到了关于这类函数的非光滑多目标分式规划的广义Karush-Kuhn-Tucker最优性条件. Based on the definition of (F,α,ρ,d) -convexity functions, nonsmooth (F,α,ρ,d) -convexity functions are defined in the paper, generalized Karush-Kuhn-Tucker optimality conditions for nonsmooth multiobjective fractional programming with this kind of functions are also derived.
作者 颜丽佳
出处 《西华师范大学学报(自然科学版)》 2006年第4期361-364,共4页 Journal of China West Normal University(Natural Sciences)
关键词 非光滑(F α ρ d)-凸函数 非光滑多目标分式规划 最优性条件 nonsmooth (F,α,ρ,d) - convexity function nonsmooth muhiobjective fractional programming optimality contions
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参考文献5

  • 1LIANG Z A,HUANG H X,PARDALOS P M.Efficiency Conditions and Duality for a Coass of Multiobjective Fractional Programming Problems[J].J.Global Optin,2003,27:447-471.
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  • 3CLARKE F H.Optimization and Nonsmooth Analysis[M].New York:John Wiley & Sons,Inc.,1983.
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