摘要
The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivatives for set-valued maps under Benson proper efficiency. Let W(u) = Pmin[G(u),S],y∧∈W(u∧). It is shown that, under some conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S] , and under some other conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S].
本文用关于集值映射的Contingent切导数定量地讨论了参数映射G（u）在Ben-son真有效意义下的扰动情况.记W（u）=Pmin[G（u）,S],y∧∈W（u∧）,则在某些条件下DW（u∧,y∧）（u） Pmin[DG（u∧,y∧）（u）],而在另外一些条件下DW（u∧,y∧）（u） Pmin[DG（u∧,y∧）（u）].
基金
Supported by the National Natural Science Foundation of China(69972036)
