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math.OC2020
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…
math.OC2019
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…
math.OC2015★ 2 cited
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…