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V-ρ一致不变凸多目标半无限规划的最优性 被引量:1

Optimality of semi-infinite multiple-Objective Programming with V-ρ Univexity
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摘要 在广义一致凸,V-ρ不变凸函数和 类函数基础上,定义了一类V-ρ一致不变凸函数,讨论了涉及这类函数的多目标半无限规划的最优性,在更弱的假设下,获得了相应的结果. Based on generalized univex functions,V-ρ invex functions and type I functions, A class of functions named V-ρ univexity was defined,Optimality of semi-infinte multipleobjective Programming involving V-ρ univexity functions was discussed.Many important conclusions under weeker assumption were obtained.
出处 《延安大学学报(自然科学版)》 2004年第3期13-15,20,共4页 Journal of Yan'an University:Natural Science Edition
关键词 V-ρ一致不变凸函数 Ⅰ类函数 最优性 V-ρ univexity functions type I functions optimacity
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参考文献8

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  • 4张庆祥.一类非光滑多目标半无限规划的对偶性[J].延安大学学报(自然科学版),2001,20(1):1-5. 被引量:4
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二级参考文献13

  • 1张庆祥.非光滑半无限多目标规划弱非控解的充分性[J].高校应用数学学报(A辑),1996,11(4):461-466. 被引量:5
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共引文献3

同被引文献8

  • 1张庆祥.一类非光滑多目标半无限规划的对偶性[J].延安大学学报(自然科学版),2001,20(1):1-5. 被引量:4
  • 2俞洋,杨俊松,田亚菲.一种新的变步长LMS算法及其仿真[J].甘肃科学学报,2005,17(2):34-37. 被引量:1
  • 3Hanson M A,Mond B.Necessary and Sufficient Condition in Constrained Optimization[J].Mathematical Programming,1987,37:51-58. 被引量:1
  • 4Bector C,Singh C.B-vex Function[J].J Optim Theory Appl,1991,71:237-253. 被引量:1
  • 5Jeyakumar V,Mond B.On Generalized Convex Mathematial Programming[J].J Austeal Math Soc Ser B,1992,34:34-53. 被引量:1
  • 6Egudo R,Hanson M A.On Suffcienty of Kuhn-tucker Conditions in Nonsmooth Multiobjective Programming[J].Fsu Technical Report,1993.M-888. 被引量:1
  • 7Kuk H,Lee Gm,Kim DS.Nonsmooth Multiobjective Programming with V-ρ Invexity[J].Indian J Pune Appl Math,1998,29:405-412. 被引量:1
  • 8Mishra S K.On Multiple-Objective Optimization with Generalized Univexity[J].Journal of Mathematical Analysis and Applications,1998,224,131-148. 被引量:1

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