New properties of the Variational Sum of monotone operators

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3 Citas (Scopus)

Resumen

We study the Variational Sum of monotone operators, in particular its relationship with the Extended Sum of monotone operators. First, we establish some new properties of the Variational Sum, among them that this sum has closed graph and convex values. Then, we show that the graph of the Variational Sum always contains the graph of the Extended Sum, and hence, it contains also the graph of the usual sum. An example is given showing that the latter inclusions are proper in general.
Idioma originalInglés
Páginas (desde-hasta)767-778
Número de páginas12
PublicaciónJournal of Convex Analysis
Volumen16
N.º3-4
EstadoPublicada - 1 dic. 2009
Publicado de forma externa

Palabras clave

  • Extended sum
  • Monotone operator
  • Variational Sum

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