摘要
对Ｂａｎａｃｈ空间上的局部Ｌｉｐｓｃｈｉｔｚ函数提出了广义仍不变凸、广义拟不变凸和广义ρ－不变凸的概念，给出了它们的一些性质，得到了一类局部Ｌｉｐｓｃｈｉｔｚ半无限广义凸规划的最优性条件。
In this paper, the concept of generalized pseudoinvexity, quasiinvexity and ρ-invexity is suggested for locally Lipschitz functions in Banach space. Some properties of those functions are given and the sufficient conditions for optimality of a class of locally Lipschitz semi-infinite programming are obtained.
出处
《桂林工学院学报》
1995年第1期105-111,共7页
Journal of Guilin University of Technology
关键词
半无限规划
广义凸性
最优性条件
李普希兹函数
locally Lipschitz function
semi-infinite programming
generalizedconvexity
optimality conditions
