FIXED POINTS IN THE FAMILY OF CONVEX REPRESENTATIONS OF A MAXIMAL MONOTONE OPERATOR
Benar Fux Svaiter · 2003
Any 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 exists a convex representation of the operator which is a fixed point of this conjugation.