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广义分式规划的鞍点最优性准则 被引量:2

Saddle point optimality criteria for generalized fractional programming
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摘要 建立了一类广义分式规划的一个不完全Lagrange函数,并利用这一函数研究广义分式规划的鞍点最优性准则,在不变凸性假设下,获得了该类广义分式规划鞍点最优性的充分条件和必要条件. In this paper,an incomplete Lagrange function was established and used to study the saddle point optimality criteria for a class of generalized fractional programming.Under invexity assumptions,the optimality sufficient condition and the optimality necessary condition were obtained for this class of generalized fractional programming.
作者 王兴国
出处 《浙江师范大学学报(自然科学版)》 CAS 2004年第1期6-10,共5页 Journal of Zhejiang Normal University:Natural Sciences
关键词 广义分式规划 鞍点 最优性准则 不完全Lagrange函数 不变凸性 欧氏空问 incomplete lagrange function invexity generalized fractional programming saddle point
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二级参考文献5

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  • 1[1]LIU J C,WU C S.On minimax fractional optimality conditions with invexity[J].Journal Mathematical Analysis and Applications,1998,219(1):21-35.
  • 2[2]LIU J C,WU C S.On minimax fractional optimality conditions with (F,ρ)-convexity[J].Journal Mathematical Analysis and Applications,1998,219(1):37-50.
  • 3[3]LIANG Zhi-an,SHI Zhen-wei.Optimality conditions and duality for a minimax fractional programming with generalized convexity[J].Journal Mathematical Analysis and Applications,2003,277(2):474-488.
  • 4[4]BECTOR C R,CHANDRA S,ABHA.On Incomplete Lagrange Function and Saddle Point Optimality Criteria in Mathematical Programming[J].Journal Mathematical Analysis and Applications,2000,251:2-12.
  • 5[7]CHANDRA S,KUMAR V.Duality in fractional minimax programming[J].Austral Math Soc Ser A,1995,58:376-386.
  • 6[8]BECTOR C R.Duality in nonlinear fractional programming[J].Z Operation Research,1973,17:183-193.
  • 7[9]XU Z K.Saddle-Point Type Optimality Criteria for Generalized Fractional Programming[J].Journal of Optimization Theory and Applications,1988,57(1):190-195.
  • 8Liu J C.Wu C S. On minimax fractional optimality conditions with invexity [J]. J Math Anal Appl,1998,219:21-35.
  • 9Liu J C,Wu C S. On minimax optimality conditions with (F,p)-convexity [J].J Math Anal Appl,1998,219:36-51.
  • 10Chandra S, Kumar V. Duality in fractional minimax programming [J]. Austral math Soc Ser A, 1995,58:376-386.

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