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The Hausdorff–Pompeiu Distance in Gn -Menger Fractal Spaces

Author

Listed:
  • Donal O’Regan

    (School of Mathematical and Statistical Science, National University of Ireland, University Road, H91 TK33 Galway, Ireland
    These authors contributed equally to this work.)

  • Reza Saadati

    (School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, Iran
    These authors contributed equally to this work.)

  • Chenkuan Li

    (Department of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, Canada
    These authors contributed equally to this work.)

  • Fahd Jarad

    (Department of Mathematics, Cankaya University, Etimesgut, Ankara 06790, Turkey
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    These authors contributed equally to this work.)

Abstract

This paper introduces a complete G n -Menger space and defines the Hausdorff–Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for G n -Menger- θ -contractions in fractal spaces.

Suggested Citation

  • Donal O’Regan & Reza Saadati & Chenkuan Li & Fahd Jarad, 2022. "The Hausdorff–Pompeiu Distance in Gn -Menger Fractal Spaces," Mathematics, MDPI, vol. 10(16), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2958-:d:889648
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    References listed on IDEAS

    as
    1. Awad A. Bakery & Mustafa M. Mohammed, 2014. "On Lacunary Mean Ideal Convergence in Generalized Random -Normed Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, April.
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