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dc.contributor.author Correa, R
dc.contributor.author Hantoute, A
dc.contributor.author López, MA
dc.date.accessioned 2024-01-17T15:56:08Z
dc.date.available 2024-01-17T15:56:08Z
dc.date.issued 2016
dc.identifier.uri https://repositorio.uoh.cl/handle/611/946
dc.description.abstract We give a formula for the subdifferential of the sum of two convex functions where one of them is the supremum of an arbitrary family of convex functions. This is carried out under a weak assumption expressing a natural relationship between the lower semicontinuous envelopes of the data functions in the domain of the sum function. We also provide a new rule for the subdifferential of the sum of two convex functions, which uses a strategy of augmenting the involved functions. The main feature of our analysis is that no continuity-type condition is required. Our approach allows us to unify, recover, and extend different results in the recent literature.
dc.description.sponsorship CONICYT(Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT))
dc.description.sponsorship Fondecyt(Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)CONICYT FONDECYT)
dc.description.sponsorship Basal(Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)CONICYT PIA/BASAL)
dc.description.sponsorship MINECO of Spain(Spanish Government)
dc.description.sponsorship FEDER of EU(European Union (EU))
dc.description.sponsorship Australian Research Council(Australian Research Council)
dc.relation.uri http://dx.doi.org/10.1137/15M1045375
dc.subject sum and pointwise supremum of convex functions
dc.subject Fenchel and approximate subdifferentials
dc.title TOWARDS SUPREMUM-SUM SUBDIFFERENTIAL CALCULUS FREE OF QUALIFICATION CONDITIONS
dc.type Artículo
uoh.revista SIAM JOURNAL ON OPTIMIZATION
dc.identifier.doi 10.1137/15M1045375
dc.citation.volume 26
dc.citation.issue 4
uoh.indizacion Web of Science
uoh.Rectoria Rectoría


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