Uniform convexity, normal structure and the fixed point property of metric spaces

DOI10.1016/J.TOPOL.2015.05.039zbMath1331.54060OpenAlexW351822810MaRDI QIDQ898506

N. E. Zubov

Publication date: 18 December 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.039

zbMATH Keywords

normal structurefixed point propertyuniform convexitygeodesic metric spaceisometric actionbounded orbit

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Rigidity of groups of circle diffeomorphisms and Teichmüller spaces

Cites Work

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• Reductive groups over a local field
• Convexities of metric spaces
• Poincaré inequalities, embeddings, and wild groups
• On Metric Spaces with Uniform Normal Structure
• On weak compactness and countable weak compactness in fixed point theory
• An Introduction to Metric Spaces and Fixed Point Theory
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Spaces of nonpositive curvature

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