湖北民族学院学报（自然科学版）2018，Vol.36Issue(2)：147-149,3.DOI:10.13501/j.cnki.42-1569/n.2018.06.007
向量优化问题强有效点的锥刻画
On Cone Characterizations of Strong Efficiency in Vector Optimization Problems
摘要
Abstract
In this paper,global properly Pareto efficient point,local Pareto efficient point and the strong efficient point in vector optimization problems are characterized with the help of contingent,normal cones as well as cones of feasible directions of a set of dependency at some point. We derive two new results a-bout global properly Pareto efficient point,local Pareto efficient point with the help of cones.The existing results are perfected.At the same time,the necessary conditions for the strong effective point are given un-der the condition of non-convex hypothesis,and the sufficient and necessary condition of the strong effec-tive point is given under the convex hypothesis.关键词
向量优化/真有效点/有效点/强有效点Key words
vector optimization/proper efficiency/efficiency/strong efficiency分类
数理科学引用本文复制引用
谭双..向量优化问题强有效点的锥刻画[J].湖北民族学院学报（自然科学版）,2018,36(2):147-149,3.基金项目
国家自然科学基金面上项目(11171363) （11171363）
基础科学与前沿技术研究(重点)(cstc2015jcyjBX0029). （重点）
