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.

引用

页码：1937 / 1946

页数：10

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