Fenchel-Moreau conjugation for lower semi-continuous functions

John Cotrina, Elizabeth W. Karas, Ademir A. Ribeiro, Wilfredo Sosa, Jin Y. Yuan

Resultado de la investigación: Contribución a una revistaArtículo de revista revisión exhaustiva

5 Citas (Scopus)

Resumen

We introduce a modification of Fenchel's conjugation which is a particular case of Moreau's conjugation. We obtain good properties such as convexity of the conjugate function even though the function is not convex. We also introduce the concept of conjugate dual space as a class of continuous operators, while in the Fenchel conjugation the conjugate dual space is the classical topological dual space. Finally, we present some examples for illustrating the difference between the Fenchel-Moreau conjugation and our modification.
Idioma originalInglés
Páginas (desde-hasta)1045-1057
Número de páginas13
PublicaciónOptimization
Volumen60
N.º8-9
DOI
EstadoPublicada - 1 ago. 2011
Publicado de forma externa

Palabras clave

  • Fenchel-Moreau conjugate
  • convex function
  • extension of the Fenchel conjugate
  • lower semi-continuous function
  • proper function

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