On Connectedness of Efficient Solution Sets for a Star Cone-Quasiconvex Vector Optimization Problem  

作　　者：Wen Song Bo-ying Wu Jian-mei Zhang 

机构地区：[1]Department of Mathematics, Harbin Normal University Harbin 150080, China [2]Depaprtment of Mathematics of Harbin Institute of Technology, Harbin 150080, China [3]School of Management, Guangdong University of Foreign Studies, Guangzhou 510420, China

出　　处：《Acta Mathematicae Applicatae Sinica》2007年第1期91-98,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10471032);the Excellent Young Teachers Program of the Ministry of Education of China

摘　　要：In this note, we prove that the efficient solution set for a vector optimization problem with a continuous, star cone-quasiconvex objective mapping is connected under the assumption that the ordering cone is a D-cone. A D-cone includes any closed convex pointed cones in a normed space which admits strictly positive continuous linear functionals.In this note, we prove that the efficient solution set for a vector optimization problem with a continuous, star cone-quasiconvex objective mapping is connected under the assumption that the ordering cone is a D-cone. A D-cone includes any closed convex pointed cones in a normed space which admits strictly positive continuous linear functionals.

关 键 词：Vector optimization efficient point set CONNECTIVITY D-cone 

分 类 号：O224[理学—运筹学与控制论]