On the Karlsson–Nussbaum conjecture for resolvents of nonexpansive mappings
DOI10.54330/afm.126009OpenAlexW4316369197WikidataQ122891339 ScholiaQ122891339MaRDI QIDQ5883039
Aleksandra Huczek, Andrzej Wiśnicki
Publication date: 29 March 2023
Published in: Annales Fennici Mathematici (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.54330/afm.126009
resolventnonexpansive mappinggeodesic spaceHilbert's projective metricWolff-Denjoy theoremKarlsson-Nussbaum conjecture
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)
Cites Work
- Theorems of Denjoy-Wolff type
- The Denjoy-Wolff theorem in \(\mathbb C^n\)
- Curvature in Hilbert geometries
- Horospheres and iterates of holomorpic maps
- The Hilbert metric and Gromov hyperbolicity.
- On non-positive curvature properties of the Hilbert metric
- Denjoy-Wolff theorems for Hilbert's and Thompson's metric spaces
- Fixed point theorems and Denjoy-Wolff theorems for Hilbert's projective metric in infinite dimensions
- Non-expanding maps and Busemann functions
- Nonlinear Perron–Frobenius Theory
- Firmly nonexpansive mappings in classes of geodesic spaces
- Iteration of Contractions and Analytic Maps
- On Fixed and Periodic Points Under Contractive Mappings
- The dynamics of contractions
- Revisiting jointly firmly nonexpansive families of mappings
- Metric spaces, convexity and nonpositive curvature
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