Subdifferential representation of homogeneous functions and extension of smoothness in Banach spaces
Document Type
Article
Publication Date
7-14-2010
Abstract
In this paper, we mainly consider proximal subdifferentials of lower semicontinuous functions defined on real Hilbert space and Clarke's subdifferentials of locally Lipschitzian functions defined on Banach space respectively, and obtain the generalized Euler identity of homogenous functions. Then, by introducing a multifunction ?, we extend the smoothness of sphere and differentiability of norm function in Banach space. © Springer-Verlag Berlin Heidelberg & The Editorial Office of AMS 2010.
Recommended Citation
Yang, Fu Chun; Wei, Zhou; and Wang, Dong, "Subdifferential representation of homogeneous functions and extension of smoothness in Banach spaces" (2010). College of Health, Science, and Technology. 959.
https://digitalcommons.uncfsu.edu/college_health_science_technology/959