Almost all 1-Set Contractions have a Fixed Point

DOI10.2307/2043163zbMath0411.47034OpenAlexW4232649879MaRDI QIDQ4199291

Geoffrey Butler

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2307/2043163

zbMATH Keywords

fixed pointsgenericityk-set contractions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point theorems on manifolds (58C30) Special maps on metric spaces (54E40)

Related Items (5)

Most homeomorphisms of the circle are semiperiodic ⋮ Some generic properties of \(\alpha\)-nonexpansive mappings ⋮ Generic existence of a nonempty compact set of fixed points ⋮ A generic view on the theorems of Brouwer and Schauder ⋮ Generic properties of the homeomorphisms of \(S^ d\)

This page was built for publication: Almost all 1-Set Contractions have a Fixed Point