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Journal of Convex Analysis 13 (2006), No. 3, 861--881
Copyright Heldermann Verlag 2006

The Fitzpatrick Function and Nonreflexive Spaces

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

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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