Limits of maximal monotone operators driven by their representative functions

• Autores: Garcia, Y, Lassonde, M
• Formato: artículo
• Fecha de Publicación: 2019
• Institución: Consejo Nacional de Ciencia Tecnología e Innovación
• Repositorio: CONCYTEC-Institucional
• Lenguaje: inglés
• OAI Identifier: oai:repositorio.concytec.gob.pe:20.500.12390/974
• Enlace del recurso: https://hdl.handle.net/20.500.12390/974; https://doi.org/10.1007/s11590-018-1279-1
• Nivel de acceso: acceso abierto
• Materia: Representative function; Maximal monotone operator; Convex function; https://purl.org/pe-repo/ocde/ford#1.01.00

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.