New fixed point free nonexpansive maps on weakly compact, convex subsets of L1[0,1]

DOI10.4064/sm180-3-6zbMath1125.47040OpenAlexW2034397322MaRDI QIDQ5293346

Patrick N. Dowling, C. J. Lennard, Barry Turett

Publication date: 29 June 2007

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

Full work available at URL: https://doi.org/10.4064/sm180-3-6

zbMATH Keywords

nonexpansive mappingfixed point propertyconvex setweakly compact setAlspach's map

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (4)

The nonexpansive and mean nonexpansive fixed point properties are equivalent for affine mappings ⋮ A Köthe-Toeplitz dual of a generalized Cesaro difference sequence space, a degenerate Lorentz space, their corresponding function spaces and fpp ⋮ A characterization of the minimal invariant sets of Alspach's mapping ⋮ Komlós’ theorem and the fixed point property for affine mappings

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