``Lion-man and the fixed point property

DOI10.1007/s10711-018-0403-9zbMath1435.54026arXiv1712.04005OpenAlexW2963421660MaRDI QIDQ2273261

Adriana Nicolae, Genaro López-Acedo, Bozena Piatek

Publication date: 18 September 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04005

zbMATH Keywords

compactnessfixed point propertylion and man gamegeodesic space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed-point theorems on manifolds (58C30) Geodesics in global differential geometry (53C22) Positional games (pursuit and evasion, etc.) (91A24)

Related Items (6)

A uniform betweenness property in metric spaces and its role in the quantitative analysis of the ``lion-man game ⋮ ``Lion-man game and the fixed point property in Hilbert spaces ⋮ Mathematical logic: proof theory, constructive mathematics. Abstracts from the workshop held November 8--14, 2020 (hybrid meeting) ⋮ Lion and man game in compact spaces ⋮ Geodesic rays, the ``lion-man game, and the fixed point property ⋮ Approximate capture in Gromov-Hausdorff close spaces

Uses Software

• MathOverflow

Cites Work

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• Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces
• Continuous pursuit curves on \(\mathrm{CAT}(K)\) spaces
• Total curvature and simple pursuit on domains of curvature bounded above
• Note on a compactness characterization via a pursuit game
• The Lefschtz-Hopf theorem for compact maps of ULC spaces
• A framework for pursuit evasion games in
• Rays and the fixed point property in noncompact spaces
• Lion and man game in compact spaces
• Lion and man -- can both win?
• Capture pursuit games on unbounded domains
• A Lefschetz-Hopf theorem for functions with compact iterates
• Characterization of compact geodesic spaces
• “Lion and Man”: A Postscript
• Topological Fixed Point Theory of Multivalued Mappings
• Locally equiconnected spaces and absolute neighborhood retracts
• Some Topological Properties of Convex Sets
• Metric spaces, convexity and nonpositive curvature

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