Detecting fixed points of nonexpansive maps by illuminating the unit ball

DOI10.1007/s11856-018-1641-0zbMath1420.47020arXiv1607.01602OpenAlexW2963223623MaRDI QIDQ1650014

Bas Lemmens, Brian Lins, Roger D. Nussbaum

Publication date: 29 June 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01602

zbMATH Keywords

illuminationnonexpansive mapPerron-Frobenius theoremhorofunction

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (5)

A unified approach to nonlinear Perron-Frobenius theory ⋮ A game theory approach to the existence and uniqueness of nonlinear Perron-Frobenius eigenvectors ⋮ Nonexpansive maps with surjective displacement ⋮ The Perron--Frobenius Theorem for Multihomogeneous Mappings ⋮ A metric version of Poincaré's theorem concerning biholomorphic inequivalence of domains

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