Limits of maximal monotone operators driven by their representative functions

被引：0
作者：
Yboon García
Marc Lassonde
机构：
[1] Universidad del Pacífico,
[2] Université des Antilles,undefined
[3] LIMOS,undefined
来源：
Optimization Letters | 2019年 / 13卷
关键词：
Maximal monotone operator; Convex function; Representative function; Epi-convergence; Mosco-convergence; Subdifferential;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：795 / 803
页数：8
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