集值映射向量优化问题ε-超有效解集的连通性(英文)  

Connectedness of ε-Super Efficient Solution Set of Vector Optimization Problems with Set-valued Maps

作　　者：戎卫东[1] 高彩霞[2] 

机构地区：[1]内蒙古大学理工学院数学系,呼和浩特010021 [2]大连理工大学应用数学系,大连116024

出　　处：《运筹学学报》2005年第1期43-48,共6页Operations Research Transactions

基　　金：Project 10261005 supported by National Natural Science Foundation of China and project 20001301 supported by Natural Science Foundation of Inner Mongolia.

摘　　要：本文在赋范向量空间中讨论集值映射向量优化问题的ε-超有效性,在锥-半连续和广义锥-次类凸的假设条件下,获得了ε-超有效点(解)集的连通性结果.In this paper, we discuss ε-super efficiency of vector optimization problems with set-valued maps in normed vector spaces. Under the assumption of cone-semicontinuous and generalized cone-subconvexlikeness, we obtain the connectedness results of ε-super efficient point (solution) set.

关 键 词：向量优化问题 集值映射 连通性 超有效解 有效点 向量空间 半连续 假设条件 有效性 解集 

分 类 号：O224[理学—运筹学与控制论] O177[理学—数学]