期刊文献+

对称可微广义一致V-I型多目标半无限规划的最优性条件 被引量:2

Optimality Conditions for Symmetrically Differentiable Semi-Infinite Programming Under Generalized Uniform V-Type I Invexity
下载PDF
导出
摘要 对于一类多目标半无限规划中的广义V-I型不变凸进行了推广,给出了广义一致V-I型不变凸函数概念,并在这些广义一致V-I型不变凸性情形下,得到了一类非光滑多目标半无限规划的一些最优性条件。 Several nonsmooth generalized uniform V-type I invexity functions are defined. Some optimality sufficient conditions for a class of nonsmooth multiobjective semi-infinite programming are obtained under generalized uniform V-type I invexities.
出处 《延安大学学报(自然科学版)》 2006年第4期14-18,共5页 Journal of Yan'an University:Natural Science Edition
基金 陕西省教育厅专项科研基金资助课题(06JK152) 延安大学科研基金(YDK2005-047)
关键词 广义一致V-I型不变凸性 多目标半无限规划 最优性条件 有效解 generalized uniform V-type I invexities multiobjective semi-infinite programming optimality conditions efficient solution
  • 相关文献

参考文献7

  • 1Hanson. M. A. and mond. B. Necessary and Sufficient Conditions in Constahned Optinization[J]. Mathematical and Applications ,1987,37:51-58.
  • 2Hanson. M. A. On suffieieey of the kuhn-Tucker Conditions[J]. J. Math. Anal. &$ Appl,1981,80(2) :545-550.
  • 3Craven. B. D. Invex Functions and Constrained Local Minima[J]. Bull. Austral. Math. Soc ,1981,24:357-366.
  • 4Hanson. M. A, Pini. R, and Singhc. Multiobjective Programming Under Generalized Type Ⅰ Invexity [J]. J. Math. Anal. & Appl, 2001,261 : 562-577.
  • 5Kaul. R. N ,Suneja. S. K ,and Srivastava. M. K. -Optimality Criteria and Duality in Multiobjective Optimization Involving Generlized Invexity[J]. J. Optim. Theory. Appl,1994,80:465-482.
  • 6张庆祥.对称可微广义V-I型多目标规划的最优性条件[J].延安大学学报(自然科学版),2004,23(3):16-20. 被引量:6
  • 7Minch. R. A. Application of Symmetric Derivatives in Mathematical Programming[J]. Math. Prog,1971,1:307-320.

共引文献5

同被引文献5

  • 1张庆祥.对称可微广义V-I型多目标规划的最优性条件[J].延安大学学报(自然科学版),2004,23(3):16-20. 被引量:6
  • 2Minch R A.Application of symmetric in mathematical programming[J].Math.prof.,1971,1:307-320.
  • 3张晨科 王行愚.Optimality and duality for a class of non-smooth generalized b-vex programming.运筹学学报,1999,3(1):6-18.
  • 4Mohamed Hachimi,Brahim Aghezzaf.Sufficiency and in nondifferentiable muliobjective programming involving generalized type Ifunctions[J].J.Math.Anal.& Appl.,2006,319:110-123.
  • 5Hanson M A,Pini R,Singh C.Multiobjiective programming under generalized type I invexity[J].J.Math.Anal.& Appl.,2001,261:562-577.

引证文献2

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部