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Some problems about the representation of monotone operators by convex functions

Published online by Cambridge University Press:  17 February 2009

Jean-Paul Penot  and
Constantin Zᾰlinescu
Jean-Paul Penot
Affiliation:
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.
Constantin Zᾰlinescu
Affiliation:
University “Al. I. Cuza” laşi, Faculty of Mathematics, Bd. Carol 1, Nr. 11, 700506 laşi, Romania; e-mail: zalinesc@uaic.ro.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 1 , July 2005 , pp. 1 - 20
Copyright
Copyright © Australian Mathematical Society 2005

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