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一类广义不变凸函数的最优性条件 被引量：1

Optimality Condition of a Class of Generalized Invex Functions
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摘要 通过在Banach空间上定义一类新的广义不变凸函数,给出了这类函数的一些性质,并在该类广义不变凸的条件下,给出了目标函数是实值函数和向量函数的最优性必要条件及向量优化问题的充分必要条件. We introduced new notion of generalized invex functions on Banach space and proved some result.Using these functions,we obtained the conditions of optimality with constraint conditions when the objective function is real-valued and vectorial functions.Moreover,necessity and sufficiency of optimality for vectorial problems were given.
作者 王彩玲 卢秀双
机构地区 吉林大学数学学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2012年第1期6-10,共5页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11171350) 吉林省自然科学基金(批准号:201115043)
关键词 弱有效解 广义不变凸函数 最优性条件 weakly efficient solution generalized invexity function optimality conditions
分类号 O221.6 [理学—运筹学与控制论]
  • 相关文献

参考文献9

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二级参考文献8

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  • 8李忠范,王彩玲,刘停战.一类Dini广义凸非光滑多目标规划的充分条件[J].吉林大学学报（理学版）,2004,42(1):50-53. 被引量：8

同被引文献9

  • 1Jeyakumar V, Rubinov A M, WU Zhi-you. Sufficient Global Optimality Conditions for Non-convex Quadratic Minimiza- tion Problems with Box Constraints [ J ]. J Glob Optim, 2006, 36 (3) : 471-481.
  • 2Jeyakumar V, "Rubinov A M, WU Zhi-you. Global Optimality Conditions for Non-convex Quadratic Minimiation Problems with Quadratic Constraints [ J]. Math Program Ser, 2007, 110 : 521-541.
  • 3WU Zhi-you, Jeyakumar V, Rubinov A M. Sufficient Conditions for Globally Optimality of Bivalent Nonconvex Quadratic Programs [J~. Journal of Optimization Theory and Applications, 2007, 133( 1 ) : 123-130.
  • 4WU Zhi-you. Sufficient Global Optimalty Conditions for Weakly Convex Minimizition Problems [ J ]. J Glob Optim, 2007, 39(3) : 427-440.
  • 5Jeyakumar V, Rubinov A M, WU Zhi-you. Generalized Fenchel' s Conjugation Formulas and Duality for Abstract Convex Functions [ J ]. Journal of Optimization Theory and Applications, 2007, 132 ( 3 ) : 441-458.
  • 6WU Zhi-you, Rubinov A M. Global Optimality Conditions for Some Classes of Optimization Problems [ J ]. Journal of Optimization Theory and Application, 2010, 145( 1 ) : 164-185.
  • 7Pinar M C. Sufficient Global Optimality Conditions for Biwalent Quadratic Optimization [ J ]. Journal of Optimization Theory and Applications, 2004, 122(2) : 433-440.
  • 8Rubinov A M, WU Zhi-you. Optimality Conditions in Global Optimization and Their Applications [ J ]. Journal of Mathematical Programming, 2009, 120( 1 ) : 101-123.
  • 9Rubinov A M. Abstraet Convexity and Global Opimization [ M ]. Dordencht: Kluwer Academic Publishers, 2000.

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吉林大学学报（理学版）
2012年 第1期

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