Abstract

We show how Fitzpatrick functions can be used to obtain various results on the local boundedness, domain and surjectivity of monotone and maximal monotone multifunctions on a Banach space, and also to clarify the relationships between different subclasses of the set of maximal monotone multifunctions

Author information

Contact details are reproduced from the original publication and may be historical.

Stephen Simons

Department of Mathematics, University of California, Santa Barbara, CA 93106-3080, U.S.A.

simons@math.ucsb.edu

Suggested citation

S. Simons. “The Fitzpatrick Function and Nonreflexive Spaces.” Journal of Convex Analysis 13 (2006), No. 3/4, 861–881.

Copyright Heldermann Verlag 2006