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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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 
Henig Efficiency in Vector Optimization with Nearly Cone-subconvexlike Set-valued Functions被引量：8
《Acta Mathematicae Applicatae Sinica》2007年第2期319-328,共10页Qiu-sheng Qiu 
the Natural Science Foundation of Zhejiang Province,China(M103089)
In this paper, we study Henig efficiency in vector optimization with nearly cone-subconvexlike set-valued function. The existence of Henig efficient point is proved and characterization of Henig efficiency is establis...
关键词：Set-valued function vector optimization Lagrangian multiplier theorem Henig efficiency nearly cone-subconvexlikeness 
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. 
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