On Clarke's Subdifferential of Marginal Functions

2021/07/27 by Gemayqzel Bouza, Bouza, Gemayqzel, Ernest Quintana +3
Computer Science · Mathematics · #49J52 #49J53 #90C30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #Optimization and Variational Analysis #math.FA #math.OC #msc:49J52 #msc:49J53 #msc:90C30

paper · pdf · doi:10.48550/arxiv.2107.12756

openalex publication_date 2021/07/27 · arxiv created 2021/09/06 · arxiv updated 2021/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we derive an upper estimate of Clarke's subdifferential of marginal functions in Banach spaces. The structure of the upper estimate is very similar to other results already obtained in the literature. The novelty lies on the fact that we derive our assertions in general Banach spaces, and avoid the use of the Asplund assumption.

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