一类锥优化问题有效集序列的稳定性  

Stability of the Sequence of Efficient Sets for a Kind of Cone Optimization Problem

作　　者：李睿[1] 黄龙光[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2016年第1期67-72,共6页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金资助项目(11461044)

摘　　要：通过引入集列的单位相对紧性和函数的强收敛性,研究赋范线性空间中一类真拟锥凸映射向量优化问题有效集序列的稳定性,并利用集合序列的Kuratowski-Painlevé收敛性,给出向量优化问题的有效集、弱有效集及Henig有效集序列的收敛性及稳定性条件.The stability of the sequence of efficient sets for a kind of proper quasiconvex cone mapping vector optimization problem in the norm linear space was studied by introducing the unit relative compactness of set sequence and the strongly convergence of function. The conditions of the convergence and stability of the sequence of the efficient set, weakly efficient set and Henig efficient set were given in the vector optimiza- tion problem by using Kuratowski-Painlev6 convergence of the sequence of sets.

关 键 词：有效集序列 真拟锥凸 单位相对紧性 强收敛性 

分 类 号：O224[理学—运筹学与控制论]