Direct sums of renormings of \(\ell _{1}\) and the fixed point property

DOI10.1016/j.na.2010.03.003zbMath1209.46005OpenAlexW2052546546MaRDI QIDQ984030

Pei-Kee Lin, Patrick N. Dowling, 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.2010.03.003

zbMATH Keywords

fixed point propertynonexpansive mappingsrenormingapproximate fixed point sequence

Mathematics Subject Classification ID

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

Related Items

Fixed point properties and reflexivity in variable Lebesgue spaces ⋮ On the structure of the set of equivalent norms on \(\ell _{1}\) with the fixed point property ⋮ Near-infinity concentrated norms and the fixed point property for nonexpansive maps on closed, bounded, convex sets

Cites Work

• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• On Fixed Point Theorems of Nonexpansive Mappings in Product Spaces
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