Maximality of sums of two maximal monotone operators

Author:

Borwein Jonathan

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference17 articles.

1. Borwein J. M., “Maximal montonicity via convex analysis," to appear in the Fitzpatrick memorial issue of J. Convex Analysis, 2006.

2. Local boundedness of monotone operators under minimal hypotheses;Borwein, Jon;Bull. Austral. Math. Soc.,1989

3. Examples of convex functions and classifications of normed spaces;Borwein, Jon;J. Convex Anal.,1994

4. CMS Books in Mathematics/Ouvrages de Math\'{e}matiques de la SMC;Borwein, Jonathan M.,2000

5. A survey of subdifferential calculus with applications;Borwein, Jonathan M.;Nonlinear Anal.,1999

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