On uniqueness of conjugacy of continuous and piecewise monotone functions

DOI10.1155/2009/230414zbMath1177.26004OpenAlexW2082746188WikidataQ59220384 ScholiaQ59220384MaRDI QIDQ1035094

Marek Cezary Zdun, Krzysztof Ciepliński

Publication date: 10 November 2009

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45675

zbMATH Keywords

functional equationfixed point theorems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) One-variable calculus (26A06)

Related Items (10)

A note on the conjugacy from Farey map to the skew tent map ⋮ Topological conjugacy of piecewise monotonic functions of nonmonotonicity height \(\geq 1\) ⋮ \(C^0\) conjugacy between PM functions with nonmonotonicity height equal to 1 ⋮ A topological classification for piecewise monotone iterative roots ⋮ On conjugacy ofr-modal interval maps with non-monotonicity height equal to 1 ⋮ Topological conjugacy of PM functions with height equaling ∞ ⋮ On non-monotonicity height of piecewise monotone functions ⋮ Explicitly defined fractal interpolation functions with variable parameters ⋮ Non-uniqueness and exotic solutions of conjugacy equations ⋮ Sandwich results for periodicity and conjugacy

Cites Work

• A First Course in Discrete Dynamical Systems
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