摘要
本文置二层规划模型中的各构成函数于Banach空间中 ,讨论了下层极值函数和上层目标函数的凸性与连续性 。
This article defines each component function of double layer program model in Banach space and discusses the convex quality and contiuity of the lower layer extremum function and the upper layer target function and widens the correspond results of double layer program model in finite dimensional space
关键词
BANACH空间
二层规划
上半连续
下半连续
点集映射
二层凸规划
凸性
目标函数
Banach space
double layer program upper semi continuous and lower semi continuous
openning and closing quality of set valued mapping