A new idea to construct the fractal interpolation function
The author proves the existence of the Barnsley's fractal interpolation functions in terms of the Rakotch contractions and the Matkowski fixed point theorem, see [\textit{E. Rakotch}, Proc. Am. Math. Soc. 13, 459--465 (1962; Zbl 0105.35202)] and [\textit{J. Matkowski}, Dissertationes Math., Warszawa 127, 63 p. (1975; Zbl 0318.39005)].
scientific article; zbMATH DE number 6868642
scientific article