Aslantas, MustafaSahin, HakanAltun, Ishak2026-02-082026-02-0820241583-50222066-9208https://doi.org/10.24193/fpt-ro.2024.2.01https://hdl.handle.net/20.500.12885/6006In this paper, taking into account the P-property in the best proximity point theory, we present a new and interesting construction method that is different from the method given in [3] for fractals. First, we introduce the concept of a generalized iterated function system (in short GIFS) constructed by a finite family of lambda-contractions. Then, we present our main theorem in which sufficient conditions are determined to obtain a fractal which is also an attractor of the mentioned system. Finally, we support our results with some illustrative and attractive examples.eninfo:eu-repo/semantics/openAccessFractalsbest proximity pointP-propertyiterated function systemsArticle10.24193/fpt-ro.2024.2.01252459472WOS:0012835530000012-s2.0-85200556449Q1Q2