168 citations · 486 across the 27 of their papers we have counts for
4 papers · 1 filter
Generalized Bregman envelopes and proximity operators
Regina S. Burachik, Minh N. Dao, Scott B. Lindstrom
Every maximally monotone operator can be associated with a family of convex functions, called the Fitzpatrick family or family of representative functions. Surprisingly, in 2017, B…
The Generalized Bregman Distance
Regina S. Burachik, Minh N. Dao, Scott B. Lindstrom
Recently, a new distance has been introduced for the graphs of two point-to-set operators, one of which is maximally monotone. When both operators are the subdifferential of a prop…
Regularizing with Bregman-Moreau envelopes
Heinz H. Bauschke, Minh N. Dao, Scott B. Lindstrom
Moreau's seminal paper, introducing what is now called the Moreau envelope and the proximity operator (also known as the proximal mapping), appeared in 1965. The Moreau envelope of…
On Fejér monotone sequences and nonexpansive mappings
H. H. Bauschke, M. N. Dao, W. M. Moursi
The notion of Fejér monotonicity has proven to be a fruitful concept in fixed point theory and optimization. In this paper, we present new conditions sufficient for convergence of…