Topological conjugate piecewise linear unimodal mappings of an interval into itself

• Date: 2016
• Main Authors: Kirichenko, V. V., Plakhotnyk, M. V., Кириченко, В. В., Плахотник, М. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1835
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $f, g : [0, 1] \rightarrow [0, 1]$ be a pair of continuous piecewise linear unimodal mappings and let $f$ be defined as follows: $f(x) = 2x$ for $x \leq 1/2$ and $f(x) = 2 - 2x$ for $x > 1/2$. Also let $h : [0, 1] \rightarrow [0, 1]$ be a piecewise differentiable homeomorphism such tha...