A Large Class of Non-weakly Compact Subsets in a Renorming of $$c_0$$ with FPP

DOI10.1007/978-3-030-34152-7_64OpenAlexW3005255710MaRDI QIDQ3297329

Serap Oran, Hemen Dutta, Veysel Nezir

Publication date: 3 July 2020

Published in: Recent Advances in Intelligent Information Systems and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34152-7_64

zbMATH Keywords

nonexpansive mappingfixed point propertyaffine mappingrenormingasymptotically isometric \(c_0\)-summing basic sequenceclosed bounded convex set

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Cites Work

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• The closed, convex hull of every ai \(c_{0}\)-summing basic sequence fails the FPP for affine nonexpansive mappings
• Characterization of Banach spaces of continuous vector valued functions with the weak Banach-Saks property
• Asymptotically isometric copies of \(c_0\) in Banach spaces
• Weak compactness is not equivalent to the fixed point property in \(c\)
• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• Irregular convex sets with fixed-point property for nonexpansive mappings
• A Fixed Point Free Nonexpansive Map
• Weak compactness is equivalent to the fixed point property in $c_0$

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