The difference vectors for convex sets and a resolution of the geometry conjecture

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 Hilbert space is actually equal to the intersection of certain translations of the underlying sets.In this paper, we provid...

Full description

Bibliographic Details
Main Authors: Alwadani, Salihah, Bauschke, Heinz H., Revalski, Julian P., Wang, Xianfu
Format: Article
Language:English
Published: Université de Montpellier 2021-07-01
Series:Open Journal of Mathematical Optimization
Subjects:
Online Access:https://ojmo.centre-mersenne.org/articles/10.5802/ojmo.7/