Some problems about the representation of monotone operators by convex functions

ANZIAM J. 47 (2005), 1-20

Some problems about the representation of monotone operators by convex functions

Jean-Paul Penot
Laboratoire de Mathématiques appliquées
ERS CNRS 2570
Faculté des sciences
av. de l'Université
64000 PAU
France
Jean-Paul.Penot@univ-pau.fr

and

Constantin Zalinescu
University 'Al. I. Cuza' Iasi
Faculty of Mathematics
Bd. Carol I
Nr. 11
700506 Iasi
Romania
zalinesc@uaic.ro

Abstract

We answer a few questions raised by S. Fitzpatrick concerning the representation of maximal monotone operators by convex functions. We also examine some other questions concerning this representation and other ones which have recently emerged.

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Australian Mathematical Publishing Association Inc.