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集值优化问题ε-严有效性的最优性条件
引用本文:赵春英,戎卫东.集值优化问题ε-严有效性的最优性条件[J].运筹学学报,2008,12(4).
作者姓名:赵春英  戎卫东
作者单位:内蒙古大学数学科学学院,呼和浩特,010021
摘    要:本文是文1]工作的继续,对ε-严有效性开展进一步的研究.对于集值优化问题(SVP),在有关映射为锥-类凸的假设条件下,得到了ε-(真)严有效点(解)的ε-Lagrange乘子、ε-真严鞍点和ε-Lagrange型对偶等结果.

关 键 词:运筹学  集值优化  ε-严有效性  最优性条件  ε-strict  efficiency

Optimality Conditions for Set-valued Optimization in the Sense of ε-Strict Efficiency
Zhao Chunying,Rong Weidong.Optimality Conditions for Set-valued Optimization in the Sense of ε-Strict Efficiency[J].OR Transactions,2008,12(4).
Authors:Zhao Chunying  Rong Weidong
Abstract:The paper is the continuations of research work 1].We research ε-strict efficiency further.For the set-valued optimization problem(SVP),we obtain the results for ε-Lagrange multipliers,ε-properly strict saddle points and ε-Lagrange type duality of the ε-(proper)strict efficient points(solutions)under the assumptions of cone-convexlikeness of the maps.
Keywords:Operations research  set-valued optimization  optimality condition
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