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Maximality of sums of two maximal monotone operators
Author:
Jonathan M. Borwein
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2951-2955
MSC (2000):
Primary 47H05, 46N10, 46A22
Posted:
May 1, 2006
MathSciNet review:
2231619
Full-text PDF Free Access
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Additional Information
Abstract: We use methods from convex analysis, relying on an ingenious function of Simon Fitzpatrick, to prove maximality of the sum of two maximal monotone operators on reflexive Banach space under weak transversality conditions.
References
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Additional Information
Jonathan M. Borwein
Affiliation:
Faculty of Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada
Email:
jborwein@cs.dal.ca
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08323-7
PII:
S 0002-9939(06)08323-7
Keywords:
Monotone operators,
convex analysis,
Sandwich theorem,
Fenchel duality,
sum theorem
Received by editor(s):
January 22, 2005
Received by editor(s) in revised form:
April 27, 2005
Posted:
May 1, 2006
Additional Notes:
This research was supported by NSERC and by the Canada Research Chair Program.
Communicated by:
N. Tomczak-Jaegermann
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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