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

By Jonathan Michael Borwein. 2007

66 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/03a15625860a8aaa9a38418ec4f96b581c8ef71e

Citations in the corpus

• Convex Functions: Constructions, Characterizations and Counterexamples (2010, unknown): “As noted in [71] we have a lovely observation first exploited by Voisei and also given in [396, Thm.”