期刊文献+

一类集值映射向量优化问题的最优性条件 被引量:2

Optimality Conditions for a kind of Set-Valued Vector Optimization of Maps
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摘要 文章在序线性空间中,引入了次似凸集值映射的概念,然后利用择一性定理,获得了弱有效解意义下的集值映射向量优化问题的最优性条件,推广了已有文献中的一些相应结果。 By using a alternative theorem, the subconvexlike set-valued maps are introduced to investigate the optimality sufficient and necessary conditions of weakly efficient solutions for set-valued vector optimization problems. Furthmore, some of the existing results in the literature are extended.
作者 蒋娅
出处 《四川理工学院学报(自然科学版)》 CAS 2009年第6期32-34,共3页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金 四川省教育厅重点项目(07ZA123) 西华师范大学科研启动基金(08B075)
关键词 集值映射 最优性条件 择一性定理 次似凸 弱有效解 set-valued maps optimality conditions theorem of the alternative subconvexlike weakly efficient solution
  • 相关文献

参考文献5

  • 1Li Z M.A Theorem of the Alternative and Its Application to The Optimization of Set-Valued Maps [J].Journal of optimization Theory and Application, 1999, 100 (2): 365-375.
  • 2Huang Y W.A Farkas-Minkowsld Type Altemative Theorem and Its Applications to Set-Valued Equiliborium Problems[J].Journal of Nonlinear and Convex Analysis, 2002,3(1):17-24.
  • 3Li Z M.The Optimality Conditions for Vector Optimization of Set-Valued Maps[J].Journal of Matherntical Analysis and Applications,1999,27(3):413-424.
  • 4周志昂,李泽民.线性空间中集值映射向量最优化的最优性条件[J].重庆大学学报(自然科学版),2003,26(3):32-34. 被引量:2
  • 5黄永伟,李泽民.集值映射向量最优化的最优性条件[J].经济数学,2000,17(3):59-65. 被引量:3

二级参考文献6

  • 1胡毓达 孟志青.分析与非光滑分析[M].上海:上海科技文献出版社,2000..
  • 2Huang Yongwei,Lecture Notesin Workshop of National Decision Making Sciences and Multiobjectives Programming,2000年
  • 3Huang Yongwei,J Chongqing Jianzhu Univ,2000年,22卷,4期,61页
  • 4Li Zemin,J Optimization Theory Applications,1999年,100期,365页
  • 5Li Z F,J Optimaz Theor Appl,1998年,98期,623页
  • 6Tian Guoqiang,J Math Anal Appl,1992年,166期,351页

共引文献3

同被引文献17

  • 1唐玉华.凹函数及其最优化[J].内江师范学院学报,2004,19(4):81-83. 被引量:1
  • 2李泽民.半无穷向量最优化问题的最优性条件[J].系统科学与数学,1994,14(4):375-380. 被引量:7
  • 3卢力,黄正海.Banach空间中向量最优化问题的充分条件[J].武汉城市建设学院学报,1996,13(2):69-75. 被引量:2
  • 4Jahn J, Khan A A,Zeilinger P. Second-order optimalityconditions in Set optimization [J]. Journal of Optimiza-tion theory and applications, 2005 .125(2) :331-347.
  • 5Aubin J P,Ekeiand I. Applied nonlinear analysis [M].John Wiley. New York, 1984.
  • 6Corley H W. optimality conditions for maximization ofset-valued functions [J]. Journal of optimization theoryand applicationsy 1988,58(1):1-10.
  • 7Luc D T. Contingent derivatives of set-valued maps andapplications to vector optimization [J]. Mathematicalprogramming, 1991,50(1/3) : 99-111.
  • 8Jahn J, Rauh R. Contingent epiderivatives and set-val-ued optimization [J ]. Mathematical methos of opera-tions research, 1997,46(2) : 193-211.
  • 9Chen G Y,Jahn J. Optimality conditions of set-valuedoptimization problems [J]. Mathematical methods ofoperations research,1998,48(2) >187-200.
  • 10Li Z M. A theorem of alternative and its application to the optimization of set-valued maps[J]. Journal of Optimization Theory and Application, 1999, 100(2): 365-375.

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