On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions

We investigate the existence and uniqueness of solutions φ:I→J of the functional equation φ(f(x))=F(φ(x)), x∈I, where I,J are closed intervals, and f:I→I, F:J→J are some continuous piecewise monotone functions. A fixed poin...

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Bibliographic Details
Main Authors: Krzysztof Ciepliński, Marek Cezary Zdun
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2009/230414