Distortion and stability of the fixed point property for non-expansive mappings

DOI10.1016/j.na.2011.12.025zbMath1295.46012OpenAlexW1992984812MaRDI QIDQ765256

T. Domínguez Benavides

Publication date: 19 March 2012

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.2011.12.025

zbMATH Keywords

fixed point propertynon-expansive mappingrenormingsnon-distortable spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items

Some questions in metric fixed point theory, by A. W. Kirk, revisited ⋮ Reflexivity is equivalent to stability of the almost fixed point property ⋮ Dual fixed point property on spaces of continuous functions under equivalent norms ⋮ Existence of fixed points in a class of convex sets ⋮ The fixed point property for some generalized nonexpansive mappings and renormings

Cites Work

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• A renorming in some Banach spaces with applications to fixed point theory
• Failure of the FPP inside an asymptotically isometric-free copy of \(c_{0}\)
• Renorming of \(\ell _{1}\) and the fixed point property
• Unconditional bases and fixed points of nonexpansive mappings
• On residuality of the set of rotund norms on a Banach space
• Measures of noncompactness in metric fixed point theory
• Uniformly non-square Banach spaces
• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• A renorming of some nonseparable Banach spaces with the fixed point property
• Contributions to the theory of the classical Banach spaces
• Banach space theory. The basis for linear and nonlinear analysis
• Subspaces of certain Banach Sequence Spaces
• Normed Linear Spaces that are Uniformly Convex in Every Direction
• GEOMETRIC THEORY OF BANACH SPACES. PART II. GEOMETRY OF THE UNIT SPHERE

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