Characterization of Strong Local Maximal Monotonicity through Graphical Derivatives
Optimization and Control
2025-08-29 v2
Abstract
This paper is devoted to study a characterization of (strong) local maximal monotonicity in terms of a property involving the graphical derivative of a set-valued mapping defined on a Hilbert space. As a consequence, a second-order characterization of variational convexity is provided without the assumption of subdifferential continuity.
Keywords
Cite
@article{arxiv.2503.18867,
title = {Characterization of Strong Local Maximal Monotonicity through Graphical Derivatives},
author = {Juan Guillermo Garrido},
journal= {arXiv preprint arXiv:2503.18867},
year = {2025}
}