On the klee-saint raymond's characterization of convexity
Author
dc.contributor.author
Correa Fontecilla, Rafael
Author
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Hantoute, Abderrahim
Author
dc.contributor.author
Pérez Aros, Pedro Antonio
Admission date
dc.date.accessioned
2017-11-02T18:42:10Z
Available date
dc.date.available
2017-11-02T18:42:10Z
Publication date
dc.date.issued
2016
Cita de ítem
dc.identifier.citation
SIAM J. Optim. Vol. 26, No. 2, pp. 1312–1321
es_ES
Identifier
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10.1137/15M1037111
Identifier
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https://repositorio.uchile.cl/handle/2250/145433
Abstract
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Using techniques of convex analysis, we provide a direct proof of a recent characterization of convexity given in the setting of Banach spaces in [J. Saint Raymond, J. Nonlinear Convex Anal., 14 (2013), pp. 253-262]. Our results also extend this characterization to locally convex spaces under weaker conditions.