 
Summary: PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY
Volume 00, Number 0, Xxxx XXXX, Pages 000000
S 00029939(XX)00000
2000]Primary 47H05; Secondary 26B25
A NEW PROOF FOR ROCKAFELLAR'S CHARACTERIZATION
OF MAXIMAL MONOTONE OPERATORS
S. SIMONS AND C. ZALINESCU
Abstract. We provide a new and short proof for Rockafellar's characteriza
tion of maximal monotone operators in reflexive Banach spaces based on S.
Fitzpatrick's function and a technique used by R. S. Burachik and B. F. Svaiter
for proving their result on the representation of a maximal monotone operator
by convex functions.
1. The result
Throughout this note (X, · ) is a reflexive Banach space and X
is its topological
dual space whose dual norm is denoted by · . Then the topological dual of X×X
is X
×X, the pairing being given by (x, x
), (u
