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>>
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On Connectedness of Efficient Solution Sets for a Star Cone-Quasiconvex Vector Optimization Problem
《Acta Mathematicae Applicatae Sinica》2007年第1期91-98,共8页Wen Song Bo-ying Wu Jian-mei Zhang 
Supported by the National Natural Science Foundation of China(No.10471032);the Excellent Young Teachers Program of the Ministry of Education of China
In this note, we prove that the efficient solution set for a vector optimization problem with a continuous, star cone-quasiconvex objective mapping is connected under the assumption that the ordering cone is a D-cone....
关键词：Vector optimization efficient point set CONNECTIVITY D-cone 
On First Order Optimality Conditions for Vector Optimization被引量：1
《Acta Mathematicae Applicatae Sinica》2003年第3期371-386,共16页L.M.Gra■a Drummond A.N.Iusem B.F.Svaiter 
a post-doctoral fellowship within the Department of Mathematics of the University of Haifa and by FAPERJ (Grant No.E-26/152.107/1990-Bolsa);Partially supported by CNP_q (Grant No.301280/86).Partially supported by CNP_q (Grant No.3002748/2002-4)
We develop first order optimality conditions for constrained vector optimization. The partial orders for the objective and the constraints are induced by closed and convex cones with nonempty interior. After presentin...
关键词：Cone constraints vector optimization Pareto minimization first order optimality conditions convex programming DUALITY 
BENSON PROPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS被引量：16
《Applied Mathematics(A Journal of Chinese Universities)》2003年第1期95-102,共8页XuYihong LiuSanyang 
theNationalNaturalScienceFoundationofChina (69972 0 36) .
Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearl...
关键词：nearly cone-subconvexlikeness convex cones Benson proper efficiency Lagrangian multiplier theorem. 
Generalized cone-subconvexlike set-valued maps and applications to vector optimization被引量：1
《Journal of Chongqing University》2002年第2期67-71,共5页黄永伟 HUANG Yongwei 
The definitions of cone-subconvexlike set-valued maps and generalized cone-subconvexlike set-valued maps in topological vector spaces are defined by using the relative interiors of ordering cone. The relationships bet...
关键词：relative interiors generalized cone-subconvexlikeness set-valued vector optimization optimality conditions weak E-minimizer. 
SUPER EFFICIENCY AND ITS SCALARIZATION IN TOPOLOGICAL VECTOR SPACE被引量：1
《Acta Mathematicae Applicatae Sinica》2000年第1期22-26,共5页胡毓达 龚循华 
supported by the National Natural Science FOundation of China and the Natural ScienceFoundation of Jiangxi Province.
In this paper, we give a characterization of super efficiency, and obtain a scalarization result for super efficiency in locally convex locally bounded topological vector spaces. The proof given here is substantially ...
关键词：Vector optimization super efficiency SCALARIZATION self-allied cone 
TOPOLOGICAL　STRUCTURE　OF　EFFICIENT　SET　OF　OPTIMIZATION　PROBLEM　OF　SET－VALUED　MAPPING被引量：7
《Chinese Annals of Mathematics,Series B》1994年第1期115-122,共8页LI YUANXI 
This paper is concerned with the topological structure of efficient sets for optimizationproblem of set-valued mapping. It is proved that these sets are closed or. connected under someconditions on cone-continuity, co...
关键词：Optimization of set-valued mapping Vector optimization Efficient solution Cone-convexity Cone-quasiconvexity Closedness Connectedness. 
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