The relevance of convex analysis for the study of monotonicity

We introduce new representations for maximal monotone operators. We relate them to previous representations given by Krauss, Fitzpatrick, Martı́nez-Legaz and Théra. We show their usefulness for the study of compositions and sums of maximal monotone operators.

Saved in:
Bibliographic Details
Published in:Nonlinear analysis 2004-09, Vol.58 (7), p.855-871
Main Author: Penot, Jean-Paul
Format: Article
Language:English
Subjects:
Composition
Convex function
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematics
Maximal monotone operator
Monotone operator
Operator theory
Saddle function
Sciences and techniques of general use
Sum of operators
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We introduce new representations for maximal monotone operators. We relate them to previous representations given by Krauss, Fitzpatrick, Martı́nez-Legaz and Théra. We show their usefulness for the study of compositions and sums of maximal monotone operators.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2004.05.018