The fixed point property for renormings of \({\ell}_2\)

DOI10.1007/s40065-012-0054-xzbMath1273.47090OpenAlexW2071274034WikidataQ59289503 ScholiaQ59289503MaRDI QIDQ1927944

Enrique Llorens-Fuster

Publication date: 2 January 2013

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-012-0054-x

zbMATH Keywords

nonexpansive mappingfixed point 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) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02)

Related Items

GEOMETRIC AND FIXED POINT PROPERTIES IN PRODUCTS OF NORMED SPACES ⋮ Fixed-Point Theorems for Generalized Nonexpansive Mappings ⋮ About some families of nonexpansive mappings with respect to renorming

Cites Work

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• A product space with the fixed point property
• Nearly uniformly noncreasy Banach spaces
• Convexity conditions and normal structure of Banach spaces
• 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
• La propriété du point fixe dans les espaces de Banach avec base inconditionelle. (The fixed point properties in Banach spaces with unconditional bases)
• Normal structure coefficients for Banach spaces
• Asymptotic centers and nonexpansive mappings in conjugate Banach spaces
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Measures of noncompactness in metric fixed point theory
• 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.
• A renorming of \(\ell_2\), rare but with the fixed-point property
• A geometric property of Banach spaces related to the fixed point property
• Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
• Normal structure in Banach spaces
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Towards the fixed point property for superreflexive spaces
• Semigroups of mappings with rigid Lipschitz constant
• A geometrically aberrant Banach space with normal structure
• The Radius Ratio and Convexity Properties in Normed Linear Spaces
• A Reflexive LUR Banach Space that Lacks Normal Structure
• A Generalization of Uniformly Rotund Banach Spaces
• Asymptotic Normal Structure and Fixed Points of Nonexpansive Mappings
• A Fixed Point Free Nonexpansive Map
• On Fixed Point Theorems of Nonexpansive Mappings in Product Spaces
• Stability of weak normal structure in James quasi reflexive space
• A sufficient condition for the fixed point property
• Convexity conditions in normed linear spaces.
• On some Banach space properties sufficient for weak normal structure and their permanence properties
• A class of spaces with weak normal structure
• Every nonreflexive subspace of $L_1[0,1$ fails the fixed point property]
• Banach spaces which are uniformly noncreasy
• P-Convexity and B-Convexity in Banach Spaces
• ON NON-UNIFORM CONDITIONS GIVING WEAK NORMAL STRUCTURE
• An Introduction to Metric Spaces and Fixed Point Theory
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Stability of the fixed point property in Hilbert spaces
• The von Neumann-Jordan constant, weak orthogonality and normal structure in Banach spaces

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