@article{Aslantas2025, 
author = {Mustafa Aslantas and Ali Hussein Bachay and Hakan Sahin and A. Duran Türkoğlu},
title = {Best proximity point results of iterated function systems for    α-   ψ-contractions},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {8},
pages = {19106-19125},
keywords = {iterated function systems, fractals, best proximity point},
url = {https://www.sciopen.com/article/10.3934/math.2025854},
doi = {10.3934/math.2025854},
abstract = {In this paper, we present two new concepts, called    α-   ψ -iterated function system and    α-   ψ-proximal iterated function system, by using    α-   ψ-contractions and    α-   ψ -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.}
}