Some fixed point results in \(\ell^1\) and \(c_0\)

DOI10.1016/S0362-546X(98)00259-4zbMath0954.47043OpenAlexW1531426705MaRDI QIDQ1968651

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

Publication date: 8 February 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00259-4

zbMATH Keywords

fixed point propertyLipschitzian mapsasymptotically nonexpansiveasymptotically isometricJames' distorsion theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Classical Banach spaces in the general theory (46B25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (10)

On asymptotic models in Banach spaces ⋮ Reflexivity is equivalent to the perturbed fixed point property for cascading nonexpansive maps in Banach lattices ⋮ c0 can be renormed to have the fixed point property for affine nonexpansive mappings ⋮ Remarks on the stability of the fixed point property for nonexpansive mappings ⋮ Hölder-contractive mappings, nonlinear extension problem and fixed point free results ⋮ Renormings of \(c_{0}\) and the minimal displacement problem ⋮ Failure of the FPP inside an asymptotically isometric-free copy of \(c_{0}\) ⋮ Asymptotically isometric copies of \(c_0\) and renormings of Banach spaces ⋮ Basis selection and fixed point results for affine mappings ⋮ Asymptotically isometric copies of ℓ^{∞} in Banach spaces and a theorem of Bessaga and Pelczynski

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