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集值优化问题近似Henig有效解的一些特征 被引量:2

Some properties of approximate henig efficient solutions of Set-Valued optimization problems
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摘要 在局部凸空间里研究集值优化问题的近似Henig有效解。得到了近似Henig有效解的一些等价条件以及标量化特征,同时获得了近似Henig有效解的一些拓扑性质。 It studies the approximate Henig efficient solutions for set-valued optimization problem.Some equivalent conditions of approximate Henig efficient solution are obtained in a locally convex space.The existence and some topological properties of approximate Henig efficient solutions aregiven.
出处 《南昌大学学报(理科版)》 CAS 北大核心 2011年第6期526-530,534,共6页 Journal of Nanchang University(Natural Science)
基金 国家自然科学基金资助项目(11061023)
关键词 集值映射 标量化 近似解 Set-Valued maps scalarization approximate solution
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  • 1Loridan P. δ - Solutions in Vector Minimization Problems [ J ]. Journal of Optimization Theory and Applications, 1984,43 (2) :265 -276.
  • 2Valyi I. Approximate Saddle - Point Theorems in Vector Optimization[ J]. Journal of Optimization Theory and Applications, 1987,55:435 - 448.
  • 3Yang X Q, Zheng X Y. Approximate Solutions and Optimality Conditions of Vector Variational Inequalities in Banach Spaces [ J ]. Journal of Global Optimization, 2008, 40:455 - 462.
  • 4Gutirrez C, Jimnez B, Novo V. Optimality Conditions via Scalarization for a New δ - Efficiency Concept in Vector Optimization Problems [ J ]. European Journal of Operational Research,2010,201 (1) :11 -22.
  • 5Gong X H. Efficiency and Henig Efficiency for Vector Equilibrium Problems [ J ]. Journal of Optimization Theory and Applications ,2001,108 ( 1 ) : 139 - 154.
  • 6Gong X H. Connectedness of the Solution Sets and Scalarization for Vector Equilibrium Problems [ J ]. Journal of Optimization Theory and Applications, 2007,133 : 151 - 161.
  • 7Gong X H, Dong H B, Wang S Y. Optimality Condition for Proper Effcient Solutions of Vector Set - vauled Optimization[ J ]. Journal of Mathematical Analysis and Applications,2003,284:332 - 350.
  • 8Jahn J. Mathematical Vector Optimization in Partially Ordered Linear Spaces [ M]. Germany: Peter L, 1986.
  • 9Gong X H. Optimality Conditions for Henig and Globally Proper Efficient Solutions with Ordering Cone has Empty Interior[ J ]. Journal of Mathematical Analysis and Applications,2005,307 : 12 - 31.
  • 10Gong X H. Optimality Conditions for Vector Equilibrium Problems[J]. Journal of Mathematical Analysis and Applications,2008,342 : 1 455 - 1 466.

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