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一类E_((b,ρ))-凸半无限规划的最优性条件 被引量:2

Optimality Conditions for a Class of E_((b,ρ))_-ConvexSemi-infinite Programming
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摘要 本文利用Clarke广义梯度,定义了一类E(b,ρ)-凸函数,研究了涉及此类函数的半无限规划问题,得到了一些最优充分性条件. A class of E_((b,ρ)_-convex functions was definited based on the generalized convexity and generalized Clarke gradient,the programming problems of this kind of functions were researched,and the optimal conditions for this kind of semi-infinite programming were discussed,then,several optimally sufficient conditions are given.
出处 《延安大学学报(自然科学版)》 2004年第4期13-16,共4页 Journal of Yan'an University:Natural Science Edition
基金 陕西省教育厅专项科研基金(01JK063)
关键词 E(b ρ)-凸函数 半无限规划 最优性条件 E_((b,ρ)_-convex functions semi-infinite programming optimally conditions
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参考文献6

  • 1[1]Bector C R and Singh C.B-vex functions[J].JOTA,1991,71(2):237-253.
  • 2[2]Bector C R,Sunjia S K,Lalitha C S.Generalized B-vex functions and B-vex programming[J].JOTA,1993,76(3):561-576.
  • 3张庆祥.广义ρ-凸半无限规划的最优性条件[J].纺织基础科学学报,1994,7(2):116-120. 被引量:9
  • 4[4]Youness E A.E-Convex Sets,E-Convex functions,and E-Convex programming[J].JOTA,1999,102(2):439-450.
  • 5[5]Yang X M.On E-Convex Sets,E-Convex functions,and E-Convex programming[J].JOTA,2001,109(3):699-704.
  • 6[6]贾礼平,张庆祥,惠小静.一类广义Eb-凸半无限规划问题的最优性条件[C].全国第六届工业与应用数学年会会议论文集,2002,7.

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共引文献8

同被引文献18

  • 1张庆祥.广义ρ-凸半无限规划的最优性条件[J].纺织基础科学学报,1994,7(2):116-120. 被引量:9
  • 2孙永忠,康开龙.非光滑广义F─凸规划问题的充分条件[J].工程数学学报,1996,13(1):117-121. 被引量:11
  • 3C.R.Bector and C.Singh,B-vex functions,JOTA,1991,71(2).237-253.
  • 4贾礼平,张庆祥,惠小静.一类广义Eb-凸半无限规划问题的最优性条件.2002年7月全第六届工业与应用数学年会会议论文集.
  • 5S.K.Mishra.On multiple-objective optimization with generalized univexity [J ].J.Math.Anal.Appl.1998,224:131-148.
  • 6C.R.Bector,S.K.Sunjia,C.S.Lalitha,Generalized B-vex functions and B-vex programming,JOTA,1993,76(3):561-576.
  • 7Jeyakumar V,Strong and weak invexity in mathematical programming,Method operation Research.
  • 8E.A.Youness,E-Convex Sets,E-Convex functions,and E-Convex programming,JOTA,1999,102 (2):439-450.
  • 9X.M.Yang,On E-Convex Sets,E-Convex functions,and E-Convex programming,JOTA,2001,109(3):699-704.
  • 10Hanson M A. On sufficiency of the Kuhn-Tucker condi-tion[J].{H}Journal of Mathematical Analysis and Applications,1981.545-550.

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