Best proximity point results of iterated function systems for $ \alpha $-$ \psi $-contractions

In this paper, we present two new concepts, called $ \alpha $-$ \psi $ -iterated function system and $ \alpha $-$ \psi $-proximal iterated function system, by using $ \alpha $-$ \psi $-contractions and $ \alpha $-$ \psi $ -proximal contractions. Hence, we extended and generalized some definitions existing in the literature. We present some results that determine the necessary conditions to obtain a fractal with an attractor in the mentioned systems. Finally, some interesting examples are presented to apply our results.