On Clarke's Subdifferential of Marginal Functions
G Bouza, E Quintana, C Tammer - arXiv preprint arXiv:2107.12756, 2021 - arxiv.org
G Bouza, E Quintana, C Tammer
arXiv preprint arXiv:2107.12756, 2021•arxiv.orgIn 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.
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.
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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