LOWER SEMICONTINUOUS CONVEX RELAXATION IN OPTIMIZATION
Author
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Correa Fontecilla, Rafael
Author
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Hantoute, Abderrahim
es_CL
Admission date
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2014-02-11T14:54:00Z
Available date
dc.date.available
2014-02-11T14:54:00Z
Publication date
dc.date.issued
2013
Cita de ítem
dc.identifier.citation
SIAM J. OPTIM. Vol. 23, No. 1, pp. 54–73
en_US
Identifier
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DOI. 10.1137/100818091
Identifier
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https://repositorio.uchile.cl/handle/2250/126384
General note
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Artículo de publicación ISI
en_US
Abstract
dc.description.abstract
We relate the argmin sets of a given function, not necessarily convex or lower semicontinuous,
and its lower semicontinuous convex hull by means of explicit characterizations involving
an appropriate concept of asymptotic functions. This question is connected to the subdifferential
calculus of the Legendre–Fenchel conjugate function. The final expressions, which also involve a
useful extension of the Fenchel subdifferential introduced in [R. Correa and A. Hantoute, Set-Valued
Var. Anal., 18 (2010), pp. 405–422], are then written exclusively by means of primal objects relying
on the initial function.