Maximal monotonicity, conjugation and the duality product
Functional Analysis
2008-02-13 v2 Analysis of PDEs
Abstract
Recently, the authors studied the connection between each maximal monotone operator T and a family H(T) of convex functions. Each member of this family characterizes the operator and satisfies two particular inequalities. The aim of this paper is to establish the converse of the latter fact. Namely, that every convex function satisfying those two particular inequalities is associated to a unique maximal monotone operator.
Cite
@article{arxiv.0802.1654,
title = {Maximal monotonicity, conjugation and the duality product},
author = {Regina Sandra Burachik and B. F. Svaiter},
journal= {arXiv preprint arXiv:0802.1654},
year = {2008}
}
Comments
8 pages, corrected author's names