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Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator
Heinz H. Bauschke, Walaa M. Moursi, Shambhavi Singh
Finding zeros of the sum of two maximally monotone operators involving a continuous linear operator is a central problem in optimization and monotone operator theory. We revisit th…
On the Bredies-Chenchene-Lorenz-Naldi algorithm
Heinz H. Bauschke, Walaa M. Moursi, Shambhavi Singh +1
Monotone inclusion problems occur in many areas of optimization and variational analysis. Splitting methods, which utilize resolvents or proximal mappings of the underlying operato…
The splitting algorithms by Ryu and by Malitsky-Tam applied to normal cones of linear subspaces converge strongly to the projection onto the intersection
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
Finding a zero of a sum of maximally monotone operators is a fundamental problem in modern optimization and nonsmooth analysis. Assuming that resolvents of the operators are availa…
Finding best approximation pairs for two intersections of closed convex sets
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
The problem of finding a best approximation pair of two sets, which in turn generalizes the well known convex feasibility problem, has a long history that dates back to work by Che…