Characterization of Strong Local Maximal Monotonicity through Graphical Derivatives

2025/03/24 by Garrido, Juan Guillermo
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2503.18867

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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