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

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Stephen Simons

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

simons@math.ucsb.edu

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Suggested citation

S. Simons. “The Fitzpatrick Function and Nonreflexive Spaces.” Journal of Convex Analysis 13 (2006), No. 3/4, 861–881. https://doi.org/10.68381/jca13064

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Published by Heldermann Verlag, 2006. Rights now held by Banach Press.