On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions

被引：0

作者：

Krzysztof Ciepliński

Marek Cezary Zdun

机构：

[1] Pedagogical University,Institute of Mathematics

来源：

Fixed Point Theory and Applications | / 2009卷

关键词：

Continuous Function; Functional Equation; Single Point; Differential Geometry; Arbitrary Function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the existence and uniqueness of solutions [inline-graphic not available: see fulltext] of the functional equation [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] are closed intervals, and [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] are some continuous piecewise monotone functions. A fixed point principle plays a crucial role in the proof of our main result.

引用

共 50 条

[1] On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions
Cieplinski, Krzysztof
Zdun, Marek Cezary
[J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
[2] On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral
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[J]. IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2023, 61 : 187 - 205
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