Maximality of sums of two maximal monotone operators in general Banach space
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- by Jonathan M. Borwein, FRSC PDF
- Proc. Amer. Math. Soc. 135 (2007), 3917-3924 Request permission
Abstract:
We combine methods from convex analysis, based on a function of Simon Fitzpatrick, with a fine recent idea due to Voisei, to prove maximality of the sum of two maximal monotone operators in Banach space under various natural domain and transversality conditions.References
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Additional Information
- Jonathan M. Borwein, FRSC
- Affiliation: Faculty of Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada
- Email: jborwein@cs.dal.ca
- Received by editor(s): May 3, 2006
- Received by editor(s) in revised form: May 10, 2006, and September 27, 2006
- Published electronically: September 12, 2007
- Additional Notes: This author’s research was supported by NSERC and by the Canada Research Chair Program.
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 3917-3924
- MSC (2000): Primary 47H05, 46N10, 46A22
- DOI: https://doi.org/10.1090/S0002-9939-07-08960-5
- MathSciNet review: 2341941