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

DOI10.5802/ojmo.7OpenAlexW3178931227WikidataQ113689202 ScholiaQ113689202MaRDI QIDQ2165589

Salihah Alwadani, Heinz H. Bauschke, Julian Petrov Revalski, Shawn Xianfu Wang

Publication date: 20 August 2022

Published in: OJMO. Open Journal of Mathematical Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04784

zbMATH Keywords

cycleconvex setsfixed point setprojectorsAttouch-Théra dualitymonotone operator theorycircular right shift operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Fixed-point theorems (47H10) Existence of solutions for minimax problems (49J35) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

We Found 2 Related Items (max. 100)

Roots of the identity operator and proximal mappings: (Classical and phantom) cycles and gap vectors ⋮ 𝑚th roots of the identity operator and the geometry conjecture

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