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集值映射向量最优化的最优性条件 被引量:3

OPTIMALITY CONDITIONS FOR VECTOR OPTIMIZATION OF SET-VALUED MAPS
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摘要 本文在序线性拓扑空间中 ,证明了广义Y+—次似凸集值映射的一个择一性定理 ,利用此定理 ,我们得到集值映射向量最优化问题的最优性条件 . In this paper,we prove a theorem of the alternative for generalized Y +-subconvexlike set valued maps in ordered linear topological spaces.Then using it,we obtain the optimality conditions for vector optimization with set valued maps.
出处 《经济数学》 2000年第3期59-65,共7页 Journal of Quantitative Economics
关键词 集值映射 最优性条件 择一性定理 序线性拓扑空间 向量最优化 Set valued maps,Optimality conditions,Theorem of the alternative,Generalized Y +-subconvexlike,Ordered linear topological spaces.
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参考文献5

  • 1Huang Yongwei,Lecture Notesin Workshop of National Decision Making Sciences and Multiobjectives Programming,2000年
  • 2Huang Yongwei,J Chongqing Jianzhu Univ,2000年,22卷,4期,61页
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  • 4Li Z F,J Optimaz Theor Appl,1998年,98期,623页
  • 5Tian Guoqiang,J Math Anal Appl,1992年,166期,351页

同被引文献13

  • 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陈光亚.Banach空间中向量极值问题的Lagrange定理及Kuhn-Tucher条件.系统科学与数学,1983,.
  • 5Li Zemin.The optimality conditions for vector optimization of set-valued maps[J].Journal of Mathematical Analysis and Applications,1999,237:413-424.
  • 6李泽民.线性拓扑空间中向量极值问题的广义Kuhn-Tucher条件.J Sys Sci & Math Scis,1990,.
  • 7Jeyakumar V.A generalization of a minimax theorem of fan via a theorem of the alternative[J].Journal of Optimization Theory and Application,1986,48(3):525-533.
  • 8Alexandru Aleman.On some generalizations of convex sets and convex functions[J].Mathematica:Revue d'Analyse Numerique et de Theorie de l'Approximation,1985,14:1-6.
  • 9Li Zemin.The optimality conditions of differentiable vector optimization problems[J].Journal of Mathematical Analysis and Applications,1996,(201):35-43.
  • 10李泽民.线性拓扑空间中向量极值问题的广义Kuhn-Tucker条件[J].系统科学与数学,1990,10(1):78-83. 被引量:30

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