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Generation of fractals by \(\Phi\)-iterated tupling system

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Abstract

The purpose of this paper is to present new m-tuple fractals using strong m-tuple fixed point method, which provides a positive answer to the question of Petruşel and Petruşel [24] concerning the generation of multiple fractals. Illustrative examples and numerical calculations are given to support the obtained results.

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Acknowledgements

The work of the second author is financially supported by the CSIR, India with Grant No: 09/1217(13093)/ 2022-EMR-I. Furthermore, the authors would like to express their gratitude to the reviewers for their valuable suggestions to enhance the quality of the paper.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh, 221005, India

    Tanmoy Som & Jayanta Sarkar

  2. Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, 495009, India

    Dhananjay Gopal

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  1. Tanmoy Som
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  2. Jayanta Sarkar
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  3. Dhananjay Gopal
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Correspondence to Tanmoy Som.

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Som, T., Sarkar, J. & Gopal, D. Generation of fractals by \(\Phi\)-iterated tupling system. J Anal (2024). https://doi.org/10.1007/s41478-024-00744-1

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