Failure of the FPP inside an asymptotically isometric-free copy of \(c_{0}\)

DOI10.1016/j.na.2010.04.034zbMath1209.46004OpenAlexW2017179491MaRDI QIDQ984089

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

Publication date: 13 July 2010

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/j.na.2010.04.034

zbMATH Keywords

fixed point propertynonexpansive mappingscontractive mappingsai-free copy of \(c_0\)asymptotically isometric copy of \(c_0\)infinite-dimensional subspace

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Related Items (4)

Renormings of \(c_{0}\) and the fixed point property ⋮ The fixed point property in \(c_0\) with an equivalent norm ⋮ A generalization of a renorming theorem by Lin and a new nonreflexive space with the fixed point property which is nonisomorphic to \(l_1\) ⋮ Distortion and stability of the fixed point property for non-expansive mappings

Cites Work

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• Asymptotically isometric copies of \(c_0\) in Banach spaces
• Reflexivity and the fixed-point property for nonexpansive maps
• Some fixed point results in \(\ell^1\) and \(c_0\)

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