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

共 50 条

[31] CONVERGENCE OF MONOTONE OPERATORS
BAUER, H
MATHEMATISCHE ZEITSCHRIFT, 1974, 136 (04) : 315 - 330
[32] Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators
Garcia, Yboon
Lassonde, Marc
SET-VALUED AND VARIATIONAL ANALYSIS, 2012, 20 (01) : 61 - 73
[33] Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators
Yboon García
Marc Lassonde
Set-Valued and Variational Analysis, 2012, 20 : 61 - 73
[34] DOMAINS OF MAXIMAL MONOTONE OPERATORS
WEYER, J
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 82 (03) : 491 - 493
[35] Regular Maximal Monotone Operators
Andrei Verona
Maria E. Verona
Set-Valued Analysis, 1998, 6 : 303 - 312
[36] A Characterization of Maximal Monotone Operators
Loehne, Andreas
SET-VALUED ANALYSIS, 2008, 16 (5-6): : 693 - 700
[37] IMAGE OF MAXIMAL MONOTONE OPERATORS
BROWDER, FE
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 287 (10): : 755 - 757
[38] Regular maximal monotone operators
Verona, A
Verona, ME
SET-VALUED ANALYSIS, 1998, 6 (03): : 303 - 312
[39] A Characterization of Maximal Monotone Operators
Andreas Löhne
Set-Valued Analysis, 2008, 16 : 693 - 700
[40] Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces
Shehu, Yekini
APPLIED MATHEMATICS AND COMPUTATION, 2014, 239 : 285 - 298

← 1 2 3 4 5 →