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Best proximity point results of iterated function systems for ?-?-contractions
(Amer Inst Mathematical Sciences-Aims, 2025) Aslantas, Mustafa; Bachay, Ali Hussein; Sahin, Hakan; Turkoglu, A. Duran
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.