2 citations · 2 across the 2 of their papers we have counts for
5 papers
Demiclosedness principles for generalized nonexpansive mappings
Sedi Bartz, Rubén Campoy, Hung M. Phan
Demiclosedness principles are powerful tools in the study of convergence of iterative methods. For instance, a multi-operator demiclosedness principle for firmly nonexpansive mappi…
Conical averagedness and convergence analysis of fixed point algorithms
Sedi Bartz, Minh N. Dao, Hung M. Phan
We study a conical extension of averaged nonexpansive operators and the role it plays in convergence analysis of fixed point algorithms. Various properties of conically averaged op…
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…
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…
The resolvent average of monotone operators: dominant and recessive properties
Sedi Bartz, Heinz H. Bauschke, Sarah M. Moffat +1
Within convex analysis, a rich theory with various applications has been evolving since the proximal average of convex functions was first introduced over a decade ago. When one co…