# Limits of maximal monotone operators driven by their representative functions

Yboon García, Marc Lassonde

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

1 Cita (Scopus)

## 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 original Inglés 795-803 9 Optimization Letters 13 4 https://doi.org/10.1007/s11590-018-1279-1 Publicada - 1 jun. 2019

## Palabras clave

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

## Huella

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