Fixed points in the family of convex representations of a maximal monotone operator

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156518Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation. We prove that there exist a convex representation of the operator which is a fixed point of this conjugation.13 pages, updated references. Submited in July 2002 to Proc. AMSFunctional Analysis47H05; 47H04; 46B99Fixed points in the family of convex representations of a maximal monotone operatortext