Benson真有效意义下向量优化的灵敏度分析(英文)

Sensitivity Analysis in Vector Optimization under Benson Proper Efficiency

英文关键词:sensitivity analysis  perturbation maps  contingent derivatives  Benson proper efficiency.

中文摘要:

      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）].

英文摘要:

      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^∧）（u）?Pmin[DG（u^∧,y^∧）S].