摘要
在有限维空间中,当目标函数凸下半连续时,向量优化问题一定有弱有效解,并且解集是紧的,但当目标函数非凸时,这不一定成立,文章讨论了把目标函数的凸性减弱之后,向量优化问题的解集是非空并且紧的,另外还得到一些等价的刻画。
This paper, which uses the 0-coercivity of some nonconvex functions to characterize the nonemptiness and compactness of solution sets of the vector optimization problems, discusses the characterization of the nonemptiness and compactness of weakly efficient solution sets of nonconvex vector optimization problems in finite-dimensional spaces.
出处
《四川理工学院学报（自然科学版）》
CAS
2010年第1期23-24,30,共3页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
关键词
凸向量优化
弱有效解
紧性
0-强制性
Nonconvex vector optimization
weakly efficient solution
0-coercivity
compactness
