Henig Efficiency in Vector Optimization with Nearly Cone-subconvexlike Set-valued Functions  

作　　者：Qiu-sheng Qiu 

机构地区：[1]Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China [2]Department of Mathematics, Shanghai University, Shanghai 200436, China

出　　处：《Acta Mathematicae Applicatae Sinica》2007年第2期319-328,共10页应用数学学报（英文版）

基　　金：the Natural Science Foundation of Zhejiang Province,China(M103089)

摘　　要：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 established using the method of Lagrangian multiplier. As an interesting application of the results in this paper, we establish a Lagrange multiplier theorem for super efficiency in vector optimization with nearly conesubconvexlike set-valued function.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 established using the method of Lagrangian multiplier. As an interesting application of the results in this paper, we establish a Lagrange multiplier theorem for super efficiency in vector optimization with nearly conesubconvexlike set-valued function.

关 键 词：Set-valued function vector optimization Lagrangian multiplier theorem Henig efficiency nearly cone-subconvexlikeness 

分 类 号：O174.13[理学—数学]