A new proof for Rockafellar’s characterization of maximal monotone operators
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- by S. Simons and C. Zălinescu PDF
- Proc. Amer. Math. Soc. 132 (2004), 2969-2972 Request permission
Abstract:
We provide a new and short proof for Rockafellar’s characterization of maximal monotone operators in reflexive Banach spaces based on S. Fitzpatrick’s function and a technique used by R. S. Burachik and B. F. Svaiter for proving their result on the representation of a maximal monotone operator by convex functions.References
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Additional Information
- S. Simons
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- MR Author ID: 189831
- Email: simons@math.ucsb.edu
- C. Zălinescu
- Affiliation: Faculty of Mathematics, University “Al. I. Cuza” Iaşi, Bd. Carol I, Nr. 11, 700506 Iaşi, Romania
- Email: zalinesc@uaic.ro
- Received by editor(s): February 6, 2003
- Published electronically: June 2, 2004
- Communicated by: Jonathan M. Borwein
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2969-2972
- MSC (2000): Primary 47H05; Secondary 26B25
- DOI: https://doi.org/10.1090/S0002-9939-04-07462-3
- MathSciNet review: 2063117