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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