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math.FA2019
Multi-marginal maximal monotonicity and convex analysis
Sedi Bartz, Heinz H. Bauschke, Hung M. Phan +1
Monotonicity and convex analysis arise naturally in the framework of multi-marginal optimal transport theory. However, a comprehensive multi-marginal monotonicity and convex analys…
math.FA2016
The resolvent order: a unification of the orders by Zarantonello, by Loewner, and by Moreau
Sedi Bartz, Heinz H. Bauschke, Xianfu Wang
We introduce and investigate the resolvent order, which is a binary relation on the set of firmly nonexpansive mappings. It unifies well-known orders introduced by Loewner (for pos…