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抽象凸多目标规划的最优性条件 被引量：1

Optimality Conditions of Multiobjective Programming Problerms Based on the Astract Convexity
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摘要 在单目标优化问题全局最优性条件的基础上,利用抽象次微分研究弱凸函数多目标规划问题的最优性,得到了与传统方法不同的结果. Optimality conditions of multi-objective programming problems for via the abstract subdifferentiation on the basis of the optimality conditions for problem. New results were got. weak convex function were given the single objective optimization
作者 王彩玲 高慧岩
机构地区 吉林大学数学学院 北京中科金财科技股份有限公司
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2012年第4期698-700,共3页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11171130)
关键词 最优性条件 抽象凸 多目标规划 optimality conditions abstract convexity muhiobjective programming
分类号 O221 [理学—运筹学与控制论]
  • 相关文献

参考文献10

  • 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.
  • 7王彩玲,卢秀双.一类广义不变凸函数的最优性条件[J].吉林大学学报（理学版）,2012,50(1):6-10. 被引量：1
  • 8Pinar M C. Sufficient Global Optimality Conditions for Biwalent Quadratic Optimization [ J ]. Journal of Optimization Theory and Applications, 2004, 122(2) : 433-440.
  • 9Rubinov A M, WU Zhi-you. Optimality Conditions in Global Optimization and Their Applications [ J ]. Journal of Mathematical Programming, 2009, 120( 1 ) : 101-123.
  • 10Rubinov A M. Abstraet Convexity and Global Opimization [ M ]. Dordencht: Kluwer Academic Publishers, 2000.

二级参考文献9

  • 1Clarke F H. Optimization and Nonsmooth Analysis [ M]. New York: Wiley, 1983.
  • 2Craven B D. Nonsmooth Multiobjective Programming [ J ]. Number Functional Analysis and Optimization, 1989, 10(1/2) : 49-64.
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  • 5Durea M, Dutta J, Tammer C. Lagrange Muhipliers for e-Pareto Solution in Vector Optimization with Nonsolid Cones in Banach Spaces [J]. Journal of Optim Theory Appl, 2010, 145(1) : 196-211.
  • 6Niculescu C. Optimality and Duality in Muhiobjective Fractional Programming Involving p-Semilocally Type I-Preinvex and Related Functions [ J]. Math Anal Appl, 2007, 335 (1): 7-19.
  • 7Dunfort N, Schwarz J T. Linear Operators Part I : General Theory [ M]. New York: John Wiley & Sons Inc, 1957.
  • 8Girsanov I V. Lectures on Mathematical Theory of Extremu Problems-: Lecture Notes in Economics and Mathematical System [ M ]. Berlin : Springer-Verlag, 1972.
  • 9王彩玲,孙文娟,杨荣,王晓玲.非光滑复合广义凸多目标规划的最优性条件[J].吉林大学学报（理学版）,2008,46(5):877-879. 被引量：1

同被引文献7

  • 1Jeyakumar V, Rubinov A M, WU Zhi-you. Sufficient'Global Optimality Conditions for Non-convex Quadratic Minimization Problems with Box Constraints [J]. Journal of Global Optimization, 2006, 36(3) .- 471-481.
  • 2Jeyakumar V, Rubinov A M, WU Zhi-you. Non-convex Quadratic Minimiation Problems with Quadratic Constraints.. Global Optimality Conditions [J] Mathematical Programming, 2007, 110(3): 521-541.
  • 3WU Zhi-you, Jeyakumar V, Rubinov A M. Sufficient Conditions for Globally Optimality of Bivalent Nonconvex Guadratic Programs with Inequality Constraints[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]. Journal of Optimization Theory and Application, 2007, 39(3).. 427-440.
  • 5Jeyakumar V, Rubinov A M, WU Zhi-you. Generalized Fenchel's Conjugation Formulas and Duality for Abstract Convex Function [J]. Journal of Optimization Theory and Application, 2007, 132(3) : 41-458.
  • 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.
  • 7Rubinov A M. Abstract Convexity and Global Opimization [M]. Dordencht: Kluwer Academic Publishers, 2000.

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二级引证文献2

吉林大学学报（理学版）
2012年 第4期

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