Barrier functions in the subdifferential theory
Functional Analysis
2024-08-05 v1
Abstract
We present a new method for proving Correa-Jofr\'e-Thibault theorem that monotonicity of subdifferential implies convexity of the function. This new method is based on barrier functions. Barrier functions help overcome some of the main technical difficulties when working with lower semicontinuous functions.
Cite
@article{arxiv.1904.00174,
title = {Barrier functions in the subdifferential theory},
author = {Milen Ivanov and Nadia Zlateva},
journal= {arXiv preprint arXiv:1904.00174},
year = {2024}
}