摘要
通过定义函数的ＥＰｉ—上方向导数和ＥＰｉ—下方向导数的概念，得到了其一些基本性质及一类函数的最优性条件。同时，还研究了Ｃ１，１函数类与二次ＥＰｉ—可微间的关系，得到了ＨＪ问题的一类新的函数集。
In this paper,the concepts of EPi—upper or lower gradient are defined and some of their properties are investigated.Moreover,a new class of functions on H J problem are obtained by studying the relation between C 1,1 functions and twice EPi—differentiable functions.
出处
《运筹与管理》
CSCD
1999年第3期38-41,共4页
Operations Research and Management Science
关键词
EPI-微分
最优性条件
C^1
1函数
EPi—differentiability
optimality conditions
C 1,1 —functions
