广义梯度与超有效解

Generalized Gradient And Super-Efficient Solution

全文先通过引进了超有效,超有效点的定义,并说明了他们的包含关系,然后再定义它们在超有效,超有效点意义下的广义梯度,证明他们在一定条件下的存在性,最后讨论广义梯度与集值向量优化超有效点与超有效点最优性条件的关系。

First, we introduce the definition of a super-efficient points andsuper-efficient points,and a description of their relationship included, then introduce the definition of generalized gradient of super-efficient andsuper-efficient points, its existence is proved under some conditions . the final , introduce the relationship of generalized gradient and set-valued optimization of super-efficient points andsuper-efficient points.