Also set-valued functions do not like iterative roots

DOI10.4171/EM/57zbMath1144.39017MaRDI QIDQ2470898

Witold Jarczyk, Wei Nian Zhang

Publication date: 15 February 2008

Published in: Elemente der Mathematik (Search for Journal in Brave)

zbMATH Keywords

set-valued functionsiterative square roots

Mathematics Subject Classification ID

Set-valued functions (26E25) Iteration theory, iterative and composite equations (39B12)

Related Items (15)

The non-iterates are dense in the space of continuous self-maps ⋮ Iterative square roots of functions ⋮ Homi-repair under iteration. I: Removable and jumping cases ⋮ Iterative roots of upper semicontinuous multifunctions ⋮ Topological classifications for a class of 2-dimensional quadratic mappings and an application to iterative roots ⋮ Discontinuous function with continuous second iterate ⋮ Unnamed Item ⋮ Flatness, plateau limit and limit length of single-plateau functions ⋮ Construction of usc solutions for a multivalued iterative equation of order \(n\) ⋮ Topological conjugacy between multifunctions ⋮ On fractional iterates of a Brouwer homeomorphism embeddable in a flow ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ Iterative roots of exclusive multifunctions ⋮ Extension of iterative roots ⋮ Smoothness repaired by iteration

Cites Work

• The Set of all Iterates is Nowhere Dense in C([ 0, 1 , [ 0, 1 ])]
• Recent results on functional equations in a single variable, perspectives and open problems
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