Limits of maximal monotone operators driven by their representative functions

Yboon García, Marc Lassonde

Producción científica: Contribución a una revistaArtículo de revista revisión exhaustiva

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Resumen

In a previous paper, the authors showed that in a reflexive Banach space the lower limit of a sequence of maximal monotone operators is always representable by a convex function. The present paper gives precisions to the latter result by demonstrating the continuity of the representation with respect to the epi-convergence of the representative functions, and the stability of the class of maximal monotone operators with respect to the Mosco-convergence of their representative functions.
Idioma originalInglés
Páginas (desde-hasta)795-803
Número de páginas9
PublicaciónOptimization Letters
Volumen13
N.º4
DOI
EstadoPublicada - 1 jun. 2019

Nota bibliográfica

Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

Palabras clave

  • Convex function
  • Epi-convergence
  • Maximal monotone operator
  • Mosco-convergence
  • Representative function
  • Subdifferential

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