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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ε-strongly Efficient Solutions for Vector Optimization with Set-valued Maps被引量：10
《Chinese Quarterly Journal of Mathematics》2010年第1期104-109,共6页WANG Qi-liu 
Foundation item： Supported by the Natural Science Foundation of China（10871216）; Supported by the Natural Science Foundation Project of CQ CSTC（2008BB0346, 2007BB0441）; Supported by the Excellent Young Teachers Program of Chongqing Jiaotong University（EYT08-016） Acknowledgement The author would like to thank the anonymous referee for the valuable remarks that helped considerably to correct and to improve the presentation.
In locally convex Hausdorff topological vector spaces,ε-strongly efficient solutions for vector optimization with set-valued maps are discussed.Firstly,ε-strongly efficient point of set is introduced.Secondly,under ...
关键词：vector optimization ε-strongly efficient point nearly cone-subconvexlike setvalued maps ε-strongly efficient solutions the theorem of scalarization optimality conditions 
Optimality of Vector Optimization Involving Generalized Type-I Functions in Banach被引量：1
《Chinese Quarterly Journal of Mathematics》2009年第4期543-550,共8页QU He-mei XUE Zhen-xia 
Foundation item： Supported by the National Natural Science Foundation of China（60574075） University, engaged in optimization theory and application.
In this note,new classes of generalized type-I functions are introduced for functions between Banach spaces.These generalized type-I functions are then utilized to establish sufficient optimality conditions and dualit...
关键词：vector optimization optimality conditions type-I functions duality 
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 
ON THE GENERALIZED FRITZ JOHN OPTIMALITY CONDITIONS OF VECTOR OPTIMIZATION WITH SET-VALUED MAPS UNDER BENSON PROPER EFFICIENCY被引量：3
《Applied Mathematics and Mechanics(English Edition)》2002年第12期1444-1451,共8页盛宝怀 刘三阳 
theNationalNaturalScienceFoundationofChina ( 69972 0 3 6);theDoctorFoundationofNingboCity
A kind of tangent derivative and the concepts of strong and weak * pseudoconvexity for a set-valued map are introduced. By the standard separation theorems of the convex sets and cones the optimality Fritz John condit...
关键词：contingent tangent cone set-valued map Benson proper efficiency Fritz John condition 
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. 
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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