Representative functions of maximal monotone operators and bifunctions
Functional Analysis
2015-08-03 v1 Optimization and Control
Abstract
The aim of this paper is to show that every representative function of a maximal monotone operator is the Fitzpatrick transform of a bifunction corresponding to the operator. In this way we exhibit the relation between the recent theory of representative functions, and the much older theory of saddle functions initiated by Rockafellar.
Cite
@article{arxiv.1507.08989,
title = {Representative functions of maximal monotone operators and bifunctions},
author = {Monica Bianchi and Nicolas Hadjisavvas and Rita Pini},
journal= {arXiv preprint arXiv:1507.08989},
year = {2015}
}