广义梯度的积分

The Integral of the Generalized Gradients

本文分别对R′到π(R′)上的集值映射A(x)=[a(x),b(x)]视其为三种类型的不可微函数(凸函数,局部Lipschitz拟可微函数)的广义梯度,讨论了它的积分问题。

In this paper, the integral of the set-valued mapping A(x)=[a(x) , b(x)] as a generalized gradient of three types of indifferentiable funclion (convex function, locally lipschitz function, qu asidifferentiable function) are discussed, where a(x), b(x) are real function on R'[a(x) b(x)] is a closed interval.