SCALARIZATION

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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 
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