Semigroups of mappings with rigid Lipschitz constant

DOI10.1090/S0002-9939-01-06333-XzbMath0995.47033OpenAlexW1562105677MaRDI QIDQ2781299

Enrique Llorens-Fuster

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06333-x

zbMATH Keywords

fixed pointsLipschitz constantuniformly Lipschitzian mappingsBaillon mapping

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) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items

Lower bounds for the Lipschitz constants of some classical fixed point free maps ⋮ The fixed point property for renormings of \({\ell}_2\) ⋮ On never nonexpansive mappings in reflexive Banach spaces

Cites Work

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• Asymptotic centers and nonexpansive mappings in conjugate Banach spaces
• Renormings and minimal Lipschitz constants.
• Opial’s modulus and fixed points of semigroups of mappings
• Every nonreflexive subspace of $L_1[0,1$ fails the fixed point property]
• Isomorphically expansive mappings in $l_2$
• Uniformly Lipschitzian Families of Transformations in Banach Spaces
• A fixed point theorem for transformations whose iterates have uniform Lipschitz constant
• Topological properties of the unit sphere of a Hilbert space

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