Fixed points in the family of convex representations of a maximal monotone operator
Functional Analysis
2008-03-11 v2
Abstract
Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation. We prove that there exist a convex representation of the operator which is a fixed point of this conjugation.
Keywords
Cite
@article{arxiv.0802.1347,
title = {Fixed points in the family of convex representations of a maximal monotone operator},
author = {B. F. Svaiter},
journal= {arXiv preprint arXiv:0802.1347},
year = {2008}
}
Comments
13 pages, updated references. Submited in July 2002 to Proc. AMS