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 |