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Journal of Convex Analysis 16 (2009), No. 3, 1003--1009
Copyright Heldermann Verlag 2009

Regular Maximal Monotone Multifunctions and Enlargements

Andrei Verona
Dept. of Mathematics, California State University, Los Angeles, CA 90032, U.S.A.

Maria Elena Verona
Dept. of Mathematics, University of Southern California, Los Angeles, CA 90089-1113, U.S.A.

We use recent results concerning the sum theorem for maximal monotone multifunctions in general Banach spaces to find new characterizations and properties of regular maximal monotone multifunctions and then use these to describe the domain of certain enlargements.

Keywords: Maximal monotone multifunctions, regular maximal monotone multifunctions, enlargements of maximal monotone multifunctions.

MSC: 47H05, 49J52, 47N10

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