On Gossez type (D) maximal monotone operators
Functional Analysis
2012-07-17 v3 Optimization and Control
Abstract
Gossez type (D) operators are defined in non-reflexive Banach spaces and share with the subdifferential a topological related property, characterized by bounded nets. In this work we present new properties and characterizations of these operators. The class (NI) was defined after Gossez defined the class (D) and seemed to generalize the class (D). One of our main results is the proof that these classes, type (D) and (NI), are identical.
Cite
@article{arxiv.0903.5332,
title = {On Gossez type (D) maximal monotone operators},
author = {B. F. Svaiter and M. Marques Alves},
journal= {arXiv preprint arXiv:0903.5332},
year = {2012}
}
Comments
Added one reference. Added Corollary 4.3, which is a trivial, but interesting, consequence of Lemma 4.1 and Theorem 4.2