摘要
The author studies a locally Lipschitz semi-infinite progra-mming （P） and its corresponding L1 exact penalty function θ（x,ρ）, anddiscusses the equivalence of the calmness and the stability of （P） undertwo kinds of definition. Author obtains that the result of （P） is notcalm at （?）, and finally gives that（?） salving （P） is also a local mimi-mum in C for min θ（x,ρ）, for sufficently large ρ, under （P） being calmat （?）.
The author studies a locally Lipschitz semi-infinite progra-mming (P) and its corresponding L_1 exact penalty function θ(x,ρ), anddiscusses the equivalence of the calmness and the stability of (P) undertwo kinds of definition. Author obtains that the result of (P) is notcalm at (?), and finally gives that(?) salving (P) is also a local mimi-mum in C for min θ(x,ρ), for sufficently large ρ, under (P) being calmat (?).
出处
《湘潭大学自然科学学报》
CAS
CSCD
1992年第2期88-91,共4页
Natural Science Journal of Xiangtan University
关键词
非线性规划
稳定性
镇定性
non-linear progamming
stability
Lipschitz condition
calmness
