VECTOR_OPTIMIZATION

作品数:38被引量:77H指数:6
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相关作者:盛宝怀刘三阳方亚平黄南京更多>>
相关机构:四川大学更多>>
相关期刊:《Progress in Natural Science:Materials International》《Applied Mathematics》《Acta Mathematica Sinica,English Series》《International Journal of Intelligent Computing and Cybernetics》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划山西省自然科学基金国家教育部博士点基金更多>>
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NON-CONFLICTING ORDERING CONES AND VECTOR OPTIMIZATION IN INDUCTIVE LIMITS
《Acta Mathematica Scientia》2014年第5期1670-1676,共7页丘京辉 
supported by the National Natural Science Foundation of China(10871141)
Let (E,ξ)=ind(En,ξn) be an inductive limit of a sequence (En,ξn)n∈N of locally convex spaces and let every step (En,ξn) be endowed with a partial order by a pointed convex (solid) cone Sn. In the framew...
关键词:locally convex space inductive limit vector optimization efficient point weakly efficient point 
SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS被引量:14
《Acta Mathematica Scientia》2005年第1期152-160,共9页徐义红 刘三阳 
ThisresearchwassupportedbytheNationalNaturalScienceFoundationofChina(10261000)theNaturalScienceFoundationofJiangxiProvince(0412013)theBasicTheoryFoundationofNanchangUniversity
Some properties for convex cones are discussed, which are used to obtain an equivalent condition and another important property for nearly cone-subconvexlike set-valued functions. Under the nearly cone-subconvexlikene...
关键词:Nearly cone-subconvexlikeness convex cones super efficiency SCALARIZATION Lagrangian multipliers 
THE OPTIMALITY CONDITIONS OF NONCONVEXSET-VALUED VECTOR OPTIMIZATION被引量:2
《Acta Mathematica Scientia》2002年第1期47-55,共9页盛保怀 刘三阳 
the National Natural Science Foundation(69972036) and the Natural Science Foundation of Shanxi province(995L02)
The concepts of alpha-order Clarke's derivative, alpha-order Adjacent derivative and alpha-order G.Bouligand derivative of set-valued mappings are introduced, their properties are studied, with which the Fritz John op...
关键词:set-valued derivative optimality condition pseudoconvex set-valued mapping 
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