In 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 -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.
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Aslantaş et al. (2024) studied this question.
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