A sufficient condition for the fixed point property

DOI10.1016/0362-546X(93)90073-2zbMath0776.47028MaRDI QIDQ4039280

Antonio Jiménez-Melado, Enrique Llorens-Fuster

Publication date: 28 November 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

FPPBanach-Mazur distancefixed point property for nonexpansive mappingsconvex, weakly compact subset

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 (5)

The fixed point property in Banach spaces with the NUS-property ⋮ A product space with the fixed point property ⋮ The fixed point property for renormings of \({\ell}_2\) ⋮ James quasireflexive space is orthogonally convex ⋮ Comparison of \(P\)-convexity, \(O\)-convexity and other geometrical properties

Cites Work

• 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
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Remarks on the fixed point problem for nonexpansive maps
• A Fixed Point Free Nonexpansive Map
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
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