The closed, convex hull of every ai \(c_{0}\)-summing basic sequence fails the FPP for affine nonexpansive mappings

DOI10.1016/J.JMAA.2011.03.038zbMath1236.47052OpenAlexW2088323501MaRDI QIDQ542845

Veysel Nezir, Chris Lennard

Publication date: 20 June 2011

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.2011.03.038

zbMATH Keywords

nonexpansive mappingfixed point propertyaffine mappingcontractive mappingasymptotically isometric \(c_0\)-summing basis

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (4)

c0 can be renormed to have the fixed point property for affine nonexpansive mappings ⋮ Renormings and fixed point property in non-commutative \(L_1\)-spaces. II: Affine mappings ⋮ Weak compactness and fixed point property for affine bi-Lipschitz maps ⋮ A Large Class of Non-weakly Compact Subsets in a Renorming of $$c_0$$ with FPP

Cites Work

• Unnamed Item
• Weak compactness and fixed point property for affine mappings.
• The Fixed Point Property in c₀
• Weak compactness is equivalent to the fixed point property in $c_0$
• Characterizations of weakly compact sets and new fixed point free maps in c₀

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