On circumcenter mappings induced by nonexpansive operators

zbMath1491.47042arXiv1811.11420MaRDI QIDQ5163464

Hui Ouyang, Heinz H. Bauschke, Shawn Xianfu Wang

Publication date: 4 November 2021

Full work available at URL: https://arxiv.org/abs/1811.11420

zbMATH Keywords

projectornonexpansivereflectorBrowder's demiclosedness principlecircumcenter, circumcenter mapping

Mathematics Subject Classification ID

Convex programming (90C25) Set-valued operators (47H04) Best approximation, Chebyshev systems (41A50) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (12)

Circumcentering approximate reflections for solving the convex feasibility problem ⋮ Bregman circumcenters: basic theory ⋮ Circumcentric directions of cones ⋮ Computable centering methods for spiraling algorithms and their duals, with motivations from the theory of Lyapunov functions ⋮ Bregman circumcenters: monotonicity and forward weak convergence ⋮ The block-wise circumcentered-reflection method ⋮ On the centralization of the circumcentered-reflection method ⋮ A successive centralized circumcentered-reflection method for the convex feasibility problem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The circumcentered-reflection method achieves better rates than alternating projections ⋮ Best approximation mappings in Hilbert spaces

This page was built for publication: On circumcenter mappings induced by nonexpansive operators