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On Certain Simultaneous Functional Equations
Published online by Cambridge University Press: 20 November 2018
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G. de Rham [1] has shown that certain remarkable curves, defined by limits of sequences of inscribed polygons, are solutions of functional equations of the form
If the functions FP (z) (p = 1,2) are contraction mappings of the complex plane into itself, i.e. for fixed r < 1
- Type
- Research Article
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- Copyright
- Copyright © Canadian Mathematical Society 1965
References
1.
de Rham, G., Sur quelques courbes définies par des equations fonctionnelles, Univ. e Politec, Torino, Rend, Sem. Mat.
16 (1956-7), 101-113.Google Scholar
2.
de Rham, G., Sur une courbe plane, Journal de Math, Pures et Appl., 35 (1956), 25-42.Google Scholar
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