Best approximation of orbits in iterated function systems
Best approximation of orbits in iterated function systems
<p style='text-indent:20px;'>Let <inline-formula><tex-math id="M1">\begin{document}$ \Phi = \{\phi_{i}\colon i\in\Lambda\} $\end{document}</tex-math></inline-formula> be an iterated function system on a compact metric space <inline-formula><tex-math id="M2">\begin{document}$ (X,d) $\end{document}</tex-math></inline-formula>, where the index set <inline-formula><tex-math id="M3">\begin{document}$ \Lambda = \{1, 2, \ldots,l\} $\end{document}</tex-math></inline-formula> with <inline-formula><tex-math id="M4">\begin{document}$ l \ge2 $\end{document}</tex-math></inline-formula>, or <inline-formula><tex-math id="M5">\begin{document}$ \Lambda = \{1,2,\ldots\} $\end{document}</tex-math></inline-formula>. We denote …