On the Dini-Hadamard subdifferential of the difference of two functions
Optimization and Control
2010-04-20 v1
Abstract
In this paper we first provide a general formula of inclusion for the Dini-Hadamard epsilon-subdifferential of the difference of two functions and show that it becomes equality in case the functions are directionally approximately starshaped at a given point and a weak topological assumption is fulfilled. To this end we give a useful characterization of the Dini-Hadamard epsilon-subdifferential by means of sponges. The achieved results are employed in the formulation of optimality conditions via the Dini-Hadamard subdifferential for cone-constrained optimization problems having the difference of two functions as objective.
Keywords
Cite
@article{arxiv.1004.3136,
title = {On the Dini-Hadamard subdifferential of the difference of two functions},
author = {Radu Ioan Bot and Delia-Maria Nechita},
journal= {arXiv preprint arXiv:1004.3136},
year = {2010}
}
Comments
19 pages