A primal approach to the Clarke-Ledyaev inequality
Functional Analysis
2024-12-23 v1
Abstract
We present a version of the Clarke-Ledyaev inequality that does not involve elements of the dual space. The proof relies mainly on geometry and on the classical lemma of Bishop and Phelps. In addition, this approach allows us to provide a simplified proof of the Clakre-Ledyaev inequality. The approach is primal in the sense that no dual arguments are used.
Keywords
Cite
@article{arxiv.2412.15640,
title = {A primal approach to the Clarke-Ledyaev inequality},
author = {Mihail Hamamdjiev and Milen Ivanov and Nadia Zlateva},
journal= {arXiv preprint arXiv:2412.15640},
year = {2024}
}