scientific article; zbMATH DE number 7370681

zbMath1475.46011MaRDI QIDQ5000168

Juan Rafael Acosta-Portilla

Publication date: 9 July 2021

Full work available at URL: http://www.math.ubbcluj.ro/~nodeacj/download.php?f=211-por-3011-finalR.pdf

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zbMATH Keywords

fixed pointnonexpansive mappingaffine mappingrenormingmeager setBaire's category theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear functional analysis (46T99)

Cites Work

• About some families of nonexpansive mappings with respect to renorming
• A renorming in some Banach spaces with applications to fixed point theory
• Renorming of \(\ell _{1}\) and the fixed point property
• A generalization of a renorming theorem by Lin and a new nonreflexive space with the fixed point property which is nonisomorphic to \(l_1\)
• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• Lipschitz Algebras
• Unnamed Item
• Unnamed Item

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