21 citations · 44 across the 40 of their papers we have counts for
5 papers · 1 filter
Edelstein's Astonishing Affine Isometry
Heinz H. Bauschke, Sylvain Gretchko, Walaa M. Moursi +1
In 1964, Michael Edelstein presented an amazing affine isometry acting on the space of square-summable sequences. This operator has no fixed points, but a suborbit that converges t…
Maximally monotone operators with ranges whose closures are not convex and an answer to a recent question by Stephen Simons
Heinz H. Bauschke, Walaa M. Moursi, Xianfu Wang
In his recent Proceedings of the AMS paper "Gossez's skew linear map and its pathological maximally monotone multifunctions", Stephen Simons proved that the closure of the range of…
On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings
Heinz H. Bauschke, Walaa M. Moursi
Monotone operators and (firmly) nonexpansive mappings are fundamental objects in modern analysis and computational optimization. Five years ago, it was shown that if finitely many…
Intriguing maximally monotone operators derived from nonsunny nonexpansive retractions
Heinz H. Bauschke, Levi Miller, Walaa M. Moursi
Monotone operator theory and fixed point theory for nonexpansive mappings are central areas in modern nonlinear analysis and optimization. Although these areas are fairly well deve…
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…