非凸向量优化问题解集的非空性和紧性刻画  

Characterization of the Nonemptiness and Compactness of Solution Sets in Nonconvex Vector Optimization Problems

作　　者：李柳芬[1] 

机构地区：[1]四川理工学院理学院,四川自贡643000

出　　处：《四川理工学院学报（自然科学版）》2009年第6期25-27,共3页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：文章把之前由F.F.在R中得到的半严格拟凸向量优化问题解集的非空性和紧性刻画推广到了更高维R^n(n≥1)中,并对其中的某些结果进行了改进。This paper extends the characterizations of the nonemptiness and compactness of solution sets in nonconvex vector optimization in one-dimensional real spaces, which obtained previously by the author Flores-Bazan F, to those in R^n （ n 〉 1 ） setting. And some results presented in paper are improved.

关 键 词：向量优化问题 弱有效解 半严格拟凸 回收锥 

分 类 号：O177.2[理学—数学]