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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/230414 |
| _version_ | 1818383180934152192 |
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| author | Krzysztof Ciepliński Marek Cezary Zdun |
| author_facet | Krzysztof Ciepliński Marek Cezary Zdun |
| author_sort | Krzysztof Ciepliński |
| collection | DOAJ |
| description | 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 point principle plays a crucial role in the proof of our main result. |
| first_indexed | 2024-12-14T03:02:17Z |
| format | Article |
| id | doaj.art-1b324de0721446db9f03ec2765baa065 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-14T03:02:17Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-1b324de0721446db9f03ec2765baa0652022-12-21T23:19:28ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-01200910.1155/2009/230414On Uniqueness of Conjugacy of Continuous and Piecewise Monotone FunctionsKrzysztof CieplińskiMarek Cezary ZdunWe 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 point principle plays a crucial role in the proof of our main result.http://dx.doi.org/10.1155/2009/230414 |
| spellingShingle | Krzysztof Ciepliński Marek Cezary Zdun On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions Fixed Point Theory and Applications |
| title | On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions |
| title_full | On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions |
| title_fullStr | On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions |
| title_full_unstemmed | On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions |
| title_short | On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions |
| title_sort | on uniqueness of conjugacy of continuous and piecewise monotone functions |
| url | http://dx.doi.org/10.1155/2009/230414 |
| work_keys_str_mv | AT krzysztofciepliamp324ski onuniquenessofconjugacyofcontinuousandpiecewisemonotonefunctions AT marekcezaryzdun onuniquenessofconjugacyofcontinuousandpiecewisemonotonefunctions |