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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A Kind of Unified Strict Efficiency via Improvement Sets in Vector Optimization
《Journal of the Operations Research Society of China》2018年第4期557-569,共13页Hui Guo Yan-Qin Bai 
This research was supported by the National Natural Science Foundation of China(No.11671062);the Chongqing Municipal Education Commission(No.KJ1500310);the Doctor startup fund of Chongqing Normal University(No.16XLB010).
In this paper,we propose a kind of unified strict efficiency named E-strict efficiency via improvement sets for vector optimization.This kind of efficiency is shown to be an extension of the classical strict efficienc...
关键词：E-strict efficiency Improvement sets Linear scalarization Nonlinear scalarization Vector optimization 
Strict Efficiency in Vector Optimization with Ic-cone-convexlike Set-valued Functions
《Chinese Quarterly Journal of Mathematics》2011年第4期505-510,共6页余丽 
Supported by the National Natural Science Foundation of China(10461007);Supported by the Natural Science Foundation of Jiangxi Province(0611081)
An important property of ic-cone-convexlike set-valued functions is obtained in this paper. Under the assumption of ic-cone-convexlikeness, the scalarization theorem and the Lagrange multiplier theorem for strict effi...
关键词：ic-cone-convexlikeness strict efficiency SCALARIZATION Lagrangian multiplier theorem 
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 
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 
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 
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