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Autoconjugate functions and representations of monotone operators

Published online by Cambridge University Press:  17 April 2009

Jean-Paul Penot
Affiliation:
Laboratoire de Mathématiques Appliquées, CNRS ERS 2055, Faculté des Sciences, Université de Pau, BP 1155, 64013 PAU Cedex, France
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Abstract

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We show the existence of a convex representation of a maximal monotone operator by a convex function which is invariant with respect to the Fenchel conjugacy (up to an interchange of variables). We use the framework of generalized convexity.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2003

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