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广义分式规划的混合型对偶 被引量:4

Mixed type dual for generalized fractional programming
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摘要 在函数 (F ,ρ) 凸性假设下 ,给出了广义分式规划的最优性充分条件及其混合型对偶 ,并且在适当的条件下 ,给出了相应的弱对偶定理、强对偶定理 ,以及严格逆对偶定理 . Sufficient condition and mixed type dual were pr esented for the generalized fractional programming under (F,ρ)-convexity a ssumptions. The results about weak duality, strong duality and strictly reverse duality were also obtained under more suitable conditions.
作者 王兴国
出处 《浙江师大学报(自然科学版)》 2001年第4期332-336,共5页 Journal of Zhejiang Normal University(Natoral Sciences)
关键词 广义分式规划 混合型对偶 (F ρ)-凸性 弱对偶定理 强对偶定理 严格逆对偶定理 generalized fractional programming mixed type dual (F,ρ)-convexity
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参考文献5

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  • 2[2]Liu J C,Wu C S.On minimax fractional optimality conditions with invexity.Journal of Mathematical Analysis and Applications ,1998,219(1):21-35.
  • 3[3]Liu J C,Wu C S. On minimax optimality conditions with (F,ρ)-convexity. Journal of Mathematical Analysis and Applications,1998, 219(1):36-51.
  • 4[4]XU Z K.Mixed type duality in multiobjective programming problems. Journal of Mathematical Analysis and Applications,1996, 198(2):621-635.
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