Sets with Fixed Point Property for Isometric Mappings

DOI10.2307/2043072zbMath0448.47037OpenAlexW4245726691MaRDI QIDQ3894514

Anthony To-Ming Lau

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2043072

zbMATH Keywords

fixed point propertyisometric mappingsuniform relative normal structure

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Fixed points of nonexpansive mappings ⋮ Fixed points and common fixed points for orbit-nonexpansive mappings in metric spaces ⋮ Fixed-point theorem for isometric self-mappings

Cites Work

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• Common fixed points for commuting contraction mappings
• Derivations of simple \(C^ *\)-algebras. III
• Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
• Extremely Amenable Semigroups.
• Constant Functions and Left Invariant Means on Semigroups
• Extremely Amenable Semigroups II.