3 papers
math.FA2022
A general scheme for separably reducible properties
M. Fabian, A. Ioffe, J. P. Revalski
We propose a general scheme for studying separably reducible properties in metric spaces and then apply it to obtain separable determinacy of Lipschitz property and the separable d…
math.OC2020
The difference vectors for convex sets and a resolution of the geometry conjecture
Salihah Alwadani, Heinz H. Bauschke, Julian P. Revalski +1
The geometry conjecture, which was posed nearly a quarter of a century ago, states that the fixed point set of the composition of projectors onto nonempty closed convex sets in Hil…
math.FA2020
Resolvents and Yosida approximations of displacement mappings of isometries
Salihah Alwadani, Heinz H. Bauschke, Julian P. Revalski +1
Maximally monotone operators are fundamental objects in modern optimization. The main classes of monotone operators are subdifferential operators and matrices with a positive semid…