A contractive fixed point free mapping on a weakly compact convex set

DOI10.4064/SM223-3-6zbMath1317.47054OpenAlexW2324228662MaRDI QIDQ2926679

Jeromy Sivek, Chris Lennard, Jared Burns

Publication date: 3 November 2014

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm223-3-6

zbMATH Keywords

nonexpansive mappingfixed point propertyconvex setboundedcontractive mappingclosedweakly compact convex setfixed point free mapping

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

On Banach space properties that are not invariant under the Banach-Mazur distance 1 ⋮ A Köthe-Toeplitz dual of a generalized Cesaro difference sequence space, a degenerate Lorentz space, their corresponding function spaces and fpp

Cites Work

• A characterization of the minimal invariant sets of Alspach's mapping
• A Fixed Point Free Nonexpansive Map
• Weak compactness is equivalent to the fixed point property in $c_0$
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances

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