Bulletin of the Australian Mathematical Society

Research Article

Autoconjugate functions and representations of monotone operators

Jean-Paul Penota1

a1 Laboratoire de Mathématiques Appliquées, CNRS ERS 2055, Faculté des Sciences, Université de Pau, BP 1155, 64013 PAU Cedex, France


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.

(Received September 10 2002)