Reflexivity is equivalent to stability of the almost fixed point property

DOI10.1016/j.jmaa.2017.11.007zbMath1390.46012OpenAlexW2767591079MaRDI QIDQ1684791

J. Villada Bedoya, Japón Pineda, Maria A., Helga Fetter Nathansky

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.007

zbMATH Keywords

stabilityreflexive Banach spacesnonexpansive mappingsequivalent normsalmost fixed point property

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items

Linearly and directionally bounded weak-star closed sets and the AFPP ⋮ The almost fixed point property is not invariant under isometric renormings ⋮ An existence principle for variational inequalities in Banach spaces

Cites Work

• Unnamed Item
• Distortion and stability of the fixed point property for non-expansive mappings
• The approximate fixed point property in Banach and hyperbolic spaces
• Directionally bounded sets in \(c_0\) with equivalent norms
• Uniformly non-square Banach spaces
• The Almost Fixed Point Property for Nonexpansive Mappings

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