About some families of nonexpansive mappings with respect to renorming

DOI10.1155/2016/9310515zbMath1364.46009OpenAlexW2558419847WikidataQ59126594 ScholiaQ59126594MaRDI QIDQ503495

Carlos Alberto Hernández-Linares, Juan Rafael Acosta-Portilla, Victor Pérez-García

Publication date: 13 January 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/9310515

zbMATH Keywords

nonexpansive mappingfixed point propertyrenorming

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (1)

Unnamed Item

Cites Work

• New families of nonreflexive Banach spaces with the fixed point property
• On the structure of the set of equivalent norms on \(\ell _{1}\) with the fixed point property
• Banach spaces with a basis that are hereditarily asymptotically isometric to \(l_1\) and the fixed point property
• A renorming in some Banach spaces with applications to fixed point theory
• Reflexivity and the fixed-point property for nonexpansive maps
• The fixed point property for renormings of \({\ell}_2\)
• A generalization of a renorming theorem by Lin and a new nonreflexive space with the fixed point property which is nonisomorphic to \(l_1\)
• The fixed point property for some generalized nonexpansive mappings and renormings
• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• A renorming of some nonseparable Banach spaces with the fixed point property
• A Lipschitz Condition Preserving Extension for a Vector Function
• Unnamed Item
• Unnamed Item

This page was built for publication: About some families of nonexpansive mappings with respect to renorming