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Maximality of sums of two maximal monotone operators in general Banach space
Author(s):
Jonathan
M.
Borwein
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3917-3924.
MSC (2000):
Primary 47H05, 46N10, 46A22
Posted:
September 12, 2007
MathSciNet review:
2341941
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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
Affiliation:
Faculty of Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada
Email:
jborwein@cs.dal.ca
DOI:
10.1090/S0002-9939-07-08960-5
PII:
S 0002-9939(07)08960-5
Keywords:
Maximal monotone operators,
convex analysis,
Fitzpatrick function,
Fenchel duality,
sum theorem
Received by editor(s):
May 3, 2006
Received by editor(s) in revised form:
May 10, 2006 and, September 27, 2006
Posted:
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 of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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