The ANZIAM Journal

Research Article

Some problems about the representation of monotone operators by convex functions

Jean-Paul Penota1 and Constantin Zᾰlinescua2

a1 Laboratoire de Mathématiques appliquées, ERS CNRS 2570, Faculté des sciences, av. de l'Université, 64000 PAU, France; e-mail: Jean-Paul.Penot@univ-pau.fr.

a2 University “Al. I. Cuza” laşi, Faculty of Mathematics, Bd. Carol 1, Nr. 11, 700506 laşi, Romania; e-mail: 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.

(Received July 30 2004)

(Revised May 18 2005)