A simplified conjugation scheme for lower semi-continuous functions
Elias, Leonardo M. (Universidade Federal do Paraná. Programa de Pós-Graduação em Matemática)
Martínez Legaz, Juan Enrique (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)

Date:	2016
Abstract:	We present two generalized conjugation schemes for lower semi-continuous functions defined on a real Banach space whose norm is Fréchet differentiable off the origin, and sketch their applications to optimization duality theory. Both approaches are based upon a new characterization of lower semi-continuous functions as pointwise suprema of a special class of continuous functions.
Grants:	Ministerio de Ciencia e Innovación MTM2011-29064-C03-01
Note:	Altres ajuts: Australian Research Council DP140103213 i CAPES, grant number BEX 3843/14-9
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió sotmesa a revisió
Subject:	Lower semi-continuous function ; Generalized convex conjugation ; Optimization duality theory
Published in:	Optimization, Vol. 65, Núm. 4 (2016) , ISSN 1029-4945

DOI: 10.1080/02331934.2015.1080700

Preprint 15 p, 334.0 KB

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