Abstract

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.

Author information

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

Andrei Verona

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

averona@calstatela.edu

Maria Elena Verona

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

verona@usc.edu

Keywords

  • Maximal monotone multifunctions
  • regular maximal monotone multifunctions
  • enlargements of maximal monotone multifunctions

Mathematics Subject Classification

47H05, 49J52, 47N10

Suggested citation

A. Verona, M. E. Verona. “Regular Maximal Monotone Multifunctions and Enlargements.” Journal of Convex Analysis 16 (2009), No. 3&4, 1003–1009.

Copyright Heldermann Verlag 2009