On Clarke's Subdifferential of Marginal Functions
Functional Analysis
2021-09-07 v3 Optimization and Control
Abstract
In this short note, we derive an upper estimate of Clarke's subdifferential of marginal functions in Banach spaces. The structure of the upper estimate is very similar to other results already obtained in the literature. The novelty lies on the fact that we derive our assertions in general Banach spaces, and avoid the use of the Asplund assumption.
Cite
@article{arxiv.2107.12756,
title = {On Clarke's Subdifferential of Marginal Functions},
author = {Gemayqzel Bouza and Ernest Quintana and Christiane Tammer},
journal= {arXiv preprint arXiv:2107.12756},
year = {2021}
}