On Brondsted-Rockafellar's Theorem for convex lower semicontinuous epi pointed functions in locally convex spaces
Author
dc.contributor.author
Correa Fontecilla, Rafael
Author
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Hantoute, Abderrahim
Author
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Pérez Aros, Pedro Antonio
Admission date
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2018-07-31T16:53:05Z
Available date
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2018-07-31T16:53:05Z
Publication date
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2018
Cita de ítem
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Math. Program., Ser. B (2018) 168: 631–643
es_ES
Identifier
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10.1007/s10107-017-1110-2
Identifier
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https://repositorio.uchile.cl/handle/2250/150493
Abstract
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In this work we give an extension of the Brondsted-Rockafellar Theorem, and some of its important consequences, to proper convex lower-semicontinuous epi-pointed functions defined in locally convex spaces. We use a new approach based on a simple variational principle, which also allows recovering the classical results in a natural way.