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arXiv · 2503.18867

Characterization of Strong Local Maximal Monotonicity through Graphical Derivatives

Juan Guillermo Garrido
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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.

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Juan Guillermo Garrido. 2025-03-24. Characterization of Strong Local Maximal Monotonicity through Graphical Derivatives. https://arxiv.org/abs/2503.18867

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