A product space with the fixed point property

DOI10.1186/1687-1812-2012-91zbMath1286.46020OpenAlexW2169357314WikidataQ59289508 ScholiaQ59289508MaRDI QIDQ372073

Helga Fetter Nathansky, Enrique Llorens-Fuster

Publication date: 11 October 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-91

zbMATH Keywords

nonexpansive mappingfixed point property(PS) condition\(E\)-convexityasymptotic normal structureorthogonal convexityWORTH property

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)

Related Items (2)

The fixed point property for renormings of \({\ell}_2\) ⋮ An overview on the Prus-Szczepanik condition

Cites Work

• Nearly uniformly noncreasy Banach spaces
• Comparison of \(P\)-convexity, \(O\)-convexity and other geometrical properties
• The fixed point property via dual space properties
• Properties WORTH and WORTH\(^*\), \((1+\delta)\) embeddings in Banach spaces with 1-unconditional basis and wFPP
• Unconditional bases and fixed points of nonexpansive mappings
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• The fixed point property in Banach spaces with the NUS-property
• Banach spaces which are \(r\)-uniformly noncreasy.
• Banach spaces which are somewhat uniformly noncreasy.
• Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
• On the fixed points of nonexpansive mappings in direct sums of Banach spaces
• A Fixed Point Property of l 1 -Product Spaces
• Asymptotic Normal Structure and Fixed Points of Nonexpansive Mappings
• A sufficient condition for the fixed point property
• Convexity conditions in normed linear spaces.
• Banach spaces which are uniformly noncreasy
• On the fixed point property in direct sums of Banach spaces with strictly monotone norms
• A Fixed Point Theorem for Mappings which do not Increase Distances
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