Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure
Optimization and Control
2015-07-07 v2
Abstract
We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative without using any information on the DC structure of the function. The new definition extends to a more general class of functions, which includes Lipschitz functions definable on o-minimal structure and quasidifferentiable functions.
Keywords
Cite
@article{arxiv.1212.1508,
title = {Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure},
author = {Robert Baier and Elza Farkhi and Vera Roshchina},
journal= {arXiv preprint arXiv:1212.1508},
year = {2015}
}
Comments
30 pages, 3 figures