On the convergence of maximal monotone operators

被引：11
|
作者：
Penot, JP
Alinescu, CZ
机构：
[1] Fac Sci, CNRS, ERS 2055, Lab Math Appl, F-64000 Pau, France
[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 07期
关键词：
bounded convergence; convergence; convex function; maximal monotone operator; monotone operator; qualification condition;
D O I：
10.1090/S0002-9939-05-08275-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the convergence of maximal monotone operators with the help of representations by convex functions. In particular, we prove the convergence of a sequence of sums of maximal monotone operators under a general qualification condition of the Attouch-Brezis type.
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页码：1937 / 1946
页数：10
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