Φ-凸函数的ε-次微分及其应用

The ε-Subdifferential of Φ-Convex Functions and Its Application

本文定义了函数关于某一函数类Φ的ε-Φ一次微分，把Banach空间中的Brondsted-Rockafellar定理推广到度量空间，并由此证明了Bishop-Phelps定理在Frechet空间成立。

In the paper, we define the ε-Φ-subdifferential of functions with respect to a special family of functions, generalize the Brondsted-Rockafellar theorem on Banach spaces to metric spaces, and as its application, present the Bishop-Phelps theorem on Frechet spaces.