The Hausdorff–Pompeiu Distance in Gn -Menger Fractal Spaces

Donal O’Regan, Reza Saadati (), Chenkuan Li and Fahd Jarad
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Donal O’Regan: School of Mathematical and Statistical Science, National University of Ireland, University Road, H91 TK33 Galway, Ireland
Reza Saadati: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, Iran
Chenkuan Li: Department of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, Canada
Fahd Jarad: Department of Mathematics, Cankaya University, Etimesgut, Ankara 06790, Turkey

Mathematics, 2022, vol. 10, issue 16, 1-11

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.

Keywords: fixed point; generalized contraction; Hausdorff–Pompeiu distance; iterated function system; Gn -Menger fractal space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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