6533b827fe1ef96bd1286e95

RESEARCH PRODUCT

Metric regularity and subdifferential calculus in Banach spaces

Lionel ThibaultAbderrahim Jourani

subject

Discrete mathematicsComposite functionPure mathematicsApplied MathematicsBanach spaceLimitingSubderivativemedicine.diseaseMetric (mathematics)medicineVerifiable secret sharingAnalysisCalculus (medicine)Mathematics

description

In this paper we give verifiable conditions in terms of limiting Frechet subdifferentials ensuring the metric regularity of a multivalued functionF(x)=−g(x)+D. We apply our results to the study of the limiting Frechet subdifferential of a composite function defined on a Banach space.

https://doi.org/10.1007/bf01033643