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广义凸拓扑线性空间集值优化的ε-强有效解 被引量:4

ε-Strongly Efficient Solutions of Set-valued Optimization with Generalized Convex Topological Linear Space
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摘要 在Hausdorff局部凸拓扑线性空间中考虑约束集值优化问题(VP)的ε-强有效性.在内部锥类凸假设下,利用凸集分离定理,分别建立了关于ε-强有效解的标量化定理和ε-Lagrange乘子定理. The set-valued optimization problem with constraints(VP) is considered in the sense of e- strongly efficiency in Hausdorff locally convex topological linear spaces.Under the assumption of the ic-cone-convexlikeness,by applying separation theorem for convex sets,the scalarization theorems and theε- Lagrange multiplier theorems forε- strongly efficient solution are established,respectively.
作者 余丽
出处 《数学的实践与认识》 CSCD 北大核心 2012年第8期207-213,共7页 Mathematics in Practice and Theory
基金 江西省自然科学基金(0611081)
关键词 ε-强有效解 内部锥类凸性 标量化定理 ε-Lagrange乘子定理 ε- strongly efficient solution ic-cone-convexlikeness scalarization theorem ε-Lagrange multiplier theorem
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  • 1徐义红,刘三阳.近似锥-次类凸集值优化的严有效性[J].系统科学与数学,2004,24(3):311-317. 被引量:28
  • 2徐义红,刘三阳.SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS[J].Acta Mathematica Scientia,2005,25(1):152-160. 被引量:14
  • 3程永红.局部凸空间中的强有效性.南昌大学硕士学位论文[M].-,1997..
  • 4YU P L.Cone convexity,cone extreme points and nondominated solutions in decision problems with mul-tiobjectives[J].JOTA,1974,14:319-377.
  • 5JEYAKUMAR V.A generalization of a minmax theorem of fan via a theorem of the alternative[J].JOTA,1986,48(3):525-533.
  • 6FRENK J B G,KASSAY G.On classes of generalized convex functions and lagrangian duality[J].JOTA,1999,102:315-343.
  • 7GIANNESSI F.Theorems of the alternative and optimality conditions[J].JOTA,1984,42(3):331-365.
  • 8LUC D T,SCHAIBLE S.Efficiency and generalized concavity[J].JOTA,1997,94(1):147-153.
  • 9LI Sheng-jie,YANG Xiao-qi,CHEN Guang-ya.Nonconvex vector optimization of set-valued mappings[J] ,JMAA,2003,283:337-350.
  • 10RONG Wei-dong,WU Yu-nan.ε-weak minimal solutions of vector optimization problems with set-valued maps[J].JOTA,2000,106(3):569-579.

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  • 1Borwein JM, Zhuang DM. Super Efficiency in Vector Opti- mization [ J ]. Trans Amer Math Soc. , 1993,338 ( 1 ) : 105 - 122.
  • 2Papagergiou N S. Nonsmooth analysis on partially ordered vector space:Part 1 -Non convex case [ J ]. Pacific J Math, 1983,107(2) :403 -458.
  • 3JAHNJ,KHANAA,ZEILINGERP.Second-orderOptimalityConditionsinSetOptimization[J].JournalofOptimizationTheoryandApplications,2005,125(2):331-347.
  • 4AUBINJP,FRANKOWSKA H.Set-ValuedAnalysis[M].Berlin:Springer,1990.
  • 5LISJ,TEOKL,YANGXQ.Higher-OrderOptimalityConditionsforSet-ValuedOptimization[J].JournalofOptimizationTheoryandApplications,2008,137(3):533-553.
  • 6SACHPH.NewGeneralizedConvexityNotionforSet-ValuedMapsandapplicationtoVectorOptimization[J].JOptimTheoryAppl,2005,125(1):157-179.
  • 7CHENG Y H,FU W T.StrongEfficiencyinaLocallyConvexSpace[J].MathematicalMethodsofOperationsResearch,1999,50(3):373-384.
  • 8余国林,刘三阳.集值映射的Henig有效次微分及其稳定性[J].数学物理学报(A辑),2008,28(3):438-446. 被引量:15
  • 9WANG Qi-liu.ε-strongly Efficient Solutions for Vector Optimization with Set-valued Maps[J].Chinese Quarterly Journal of Mathematics,2010,25(1):104-109. 被引量:10
  • 10武育楠,戎卫东.集值映射向量优化问题的强有效性[J].内蒙古大学学报(自然科学版),1999,30(4):415-421. 被引量:29

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