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A generic view on the theorems of Brouwer and Schauder

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Publication:1320995
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DOI10.1007/BF03025727zbMath0793.47057MaRDI QIDQ1320995

Tudor I. Zamfirescu

Publication date: 18 August 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174535


zbMATH Keywords

fixed point setset of first Baire category


Mathematics Subject Classification ID

Fixed-point theorems (47H10)


Related Items (4)

Most homeomorphisms of the circle are semiperiodic ⋮ On the existence of asymptotically stable solutions of certain integral equations ⋮ Most homeomorphisms with a fixed point have a Cantor set of fixed points ⋮ Generic properties of the homeomorphisms of \(S^ d\)



Cites Work

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  • Some generic properties of \(\alpha\)-nonexpansive mappings
  • Porosity in convexity
  • Porosity and \(\sigma\)-porosity
  • Some generic properties in fixed point theory
  • Local compactness and porosity in metric spaces
  • Generic Properties for Some Classes of Operator Equations
  • On the Porosity of the Set of ω-Nonexpansive Mappings without Fixed Points
  • Existence, uniqueness and approximation of fixed points as a generic property
  • Almost all 1-Set Contractions have a Fixed Point


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