Brøndsted-Rockafellar property of subdifferentials of prox-bounded functions

2013/06/23 by Marc Lassonde, Lassonde, Marc
Computer Science · Mathematics · #47H05 #49J52 #49J53 #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1306.5466

openalex publication_date 2013/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a new proof that the subdifferential of a proper lower semicontinuous convex function on a Banach space is maximal monotone by adapting the pattern commonly used in the Hilbert setting. We then extend the arguments to show more precisely that subdifferentials of proper lower semicontinuous prox-bounded functions possess the Brøndsted-Rockafellar property.

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