内部锥-凸集值映射Henig有效性的Morea-Rockafellar定理

Moreau-Rockafellar Theorems for Henig Efficiencyof Set-Valued Maps with Intcone-convexity

本文利用集值映射弱次梯度的Morea-Rockafellar定理,在内部(锥)-凸性假设下,得到了集值映射关于Henig有效性的Morea-Rockafellar定理.其结论为:在内部(锥)-凸条件下,两个集值映射和的Henig有效次梯度可以表示成它们Henig有效次梯度的和.

By using the Moreau-Rockfellar thorems for weak subgradients of the set-val ued maps,Moreau-Rockfellar theorems for Henig efficiency are estblished under the assure- tions of int-convexity （int two set-valued maps can b maps under the cond cone-convexity）. It shows that a Henig subgradient of the sum of e expressed as the sum of two Henig efficient subgradients of these of intcone-convexity.