摘要
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.
出处
《河北大学学报(自然科学版)》
CAS
1997年第2期9-12,共4页
Journal of Hebei University(Natural Science Edition)