A new proof for Rockafellar's characterization of maximal monotone operators

被引：33

作者：

Simons, S ^{[1
]}

Zalinescu, C

机构：

[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[2] Univ Al I Cuza, Fac Math, Iasi 700506, Romania

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 10期

关键词：

maximal monotone operator; convex function; duality mapping;

D O I：

10.1090/S0002-9939-04-07462-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a new and short proof for Rockafellar's characterization of maximal monotone operators in reflexive Banach spaces based on S. Fitzpatrick's function and a technique used by R. S. Burachik and B. F. Svaiter for proving their result on the representation of a maximal monotone operator by convex functions.

引用

页码：2969 / 2972

页数：4

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