Maximality of sums of two maximal monotone operators in general Banach space

Author:

Borwein, FRSC Jonathan

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. Maximality of sums of two maximal monotone operators;Borwein, Jonathan M.;Proc. Amer. Math. Soc.,2006

2. Borwein, J. M., “Maximal montonicity via convex analysis,” Fitzpatrick Memorial Issue of J. Convex Analysis, 13/14 (2006), 561–586.

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

4. CMS Books in Mathematics/Ouvrages de Math\'{e}matiques de la SMC;Borwein, Jonathan M.,2005

5. Maximal monotonicity, conjugation and the duality product;Burachik, Regina Sandra;Proc. Amer. Math. Soc.,2003

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