Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/803786

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Title
Maximal monotonicity via convex analysis
Author/Creator
Borwein, Jonathan M.
Description
In his '23' "Mathematische Probleme" lecture to the Paris International Congress in 1900, David Hilbert wrote "Besides it is an error to believe that rigor in the proof is the enemy of simplicity." In this spirit, we use simple convex analytic methods, relying on an ingenious function due to Simon Fitzpatrick, to provide a concise proof of the maximality of the sum of two maximal monotone operators on reflexive Banach space under standard transversality conditions. Many other extension, surjectivity, convexity and local boundedness results are likewise established.
Relation
Journal of Convex Analysis Vol. 13, Issue 3-4, p. 561-586
Relation
http://www.emis.de/journals/JCA
Date
2006
Publisher
Heldermann Verlag
Keyword(s)
monotone operators;  convex analysis;  sandwich theorem;  Fenchel duality;  sum theorem;  composition theorem;  extension theorems;  cyclic monotonicity;  acyclic monotonicity;  Fitzpatrick function
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/803786
Identifier
ISSN:0944-6532
Reviewed
Reviewed
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Subject
"Journal of Convex Analysis"
 
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