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一类非光滑多目标半无限规划的最优性条件 被引量：5

Optimality Conditions for a Class of Nonsmooth Multiobjecttive Semi-infinite Programming
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摘要 利用一类新的广义一致Bρ-(p,r)-不变凸函数,讨论了一类多目标半无限规划问题的最优性,得到了若干个最优性条件,并据此推广了许多涉及不变凸函数、不变B-凸函数、(p,r)-不变凸函数以及B-(p,r)-不变凸函数的文献的结论. Using a new nonsmooth generalized uniform Bp-（p, r）- invexity function, multiobjective semi- infinite programming problems are discussed and optimality conditions are established in this paper. The work has generalized many results on programming problems with invex functions, B-invexity functions, （p, r）- invexity functions and B-（p, r）- invexity functions.
作者 王荣波 张庆祥 冯强
机构地区 延安大学数学与计算机科学学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第3期1-5,共5页 Journal of Southwest University(Natural Science Edition)
基金 陕西省教育厅专项科研基金资助项目(06JK152) 延安大学科研基金资助项目(YDK2005-047)
关键词 多目标半无限规划 广义一致Bp-(p r)-不变凸函数 最优性条件 有效解 multi-objective semi-infinite programming generalized uniform Bp-（p, r）-invexity functionoptimality conditlon~ efficient solution
分类号 O221.6 [理学—运筹学与控制论]
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参考文献6

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二级参考文献13

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共引文献7

同被引文献38

  • 1王荣波,冯强.一类多目标半无限规划的Mond-Weir型对偶[J].浙江大学学报（理学版）,2012,39(6):627-629. 被引量：2
  • 2Bector C R, Chandra S, Husain I. Optimality conditions and subdifferentiable multiobjective fractional programming [ J ]. J Optim Theory Appl, 1993,79 : 105-125.
  • 3Liu J C. Optimality and duality for multiobjective fractional programming involving nonsmooth pseudoinvex functions[ J]. Optimization, 1996,37 : 27-39.
  • 4Liu J C. Optimality and duality for muhiobjective fractional programming involving nonsmooth(F,p)-convex functions[ J ]. Optimi- zation, 1996,36:333-346.
  • 5Kuk H, Lee G M,Tanino T. Optimality and duality for nonsmooth multiobjective fractional programming with generalized invexity [ J]. J Math Anal Appl,2001,262:365-375.
  • 6Liang Z, Huang H, Pardalos P M. Optimality conditions and duality for a class of nonlinear fractional programming problems [ J ]. J Optim Theory Appl,2001,110:611-619.
  • 7Chen X H. Optimality and duality for the muhiobjective fractional programming with the generalized (F,p)-convexity [ J ]. J Math Anal App1,2002,273 : 190-205.
  • 8Preda V. Optimality and duality in fractional multiple objective programming involving semilocally preinvex and related functions [J]. J Math Anal Appl,2003,288:365-382.
  • 9Liang Z A, Huang H X, Pardalos P M. Efficient conditions and duality for a class of muhiobjective fractional programming [ J ]. J Glob Optim, 2003,27 : 447-471.
  • 10Kim D S,Kim S J,Kim M H. Optimality and duality for a class of non-differentiable multiobjective fractional programming problems[ J]. J Optim Theory Appl,2006,129 : 131-146.

引证文献5

二级引证文献5

西南大学学报（自然科学版）
2008年 第3期

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