NECESSARY CONDITIONS FOR EFFICIENT SOLUTION OF VECTOR OPTIMIZATION PROBLEMS  

作　　者：Xunhua GONG 

机构地区：[1]Department of Mathematics,Nanchang University

出　　处：《Journal of Systems Science & Complexity》2012年第3期514-520,共7页系统科学与复杂性学报（英文版）

基　　金：supported by the Natural Science Foundation of China under Grant No.11061023;Natural Science Foundation of Jiangxi Province,China

摘　　要：In this paper, by using Ljusternik＇s theorem and the open mapping theorem of convex process, the author gives necessary conditions for the efficient solution to the vector optimization problems without requiring that the ordering cone in the objective space has a nonempty interior.

关 键 词：Efficient solution Frechet derivative necessary conditions vector optimization. 

分 类 号：O224[理学—运筹学与控制论] O221[理学—数学]