The Hausdorff-Pompeiu Distance in Gn-Menger Fractal Spaces
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Date
2022
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Mdpi
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Abstract
This paper introduces a complete Gn-Menger space and defines the Hausdorff-Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for Gn-Menger-theta-contractions in fractal spaces.
Description
Li, Chenkuan/0000-0001-7098-8059; Saadati, Reza/0000-0002-6770-6951
Keywords
Fixed Point, Generalized Contraction, Hausdorff-Pompeiu Distance, Iterated Function System, Gn-Menger Fractal Space, fixed point; generalized contraction; Hausdorff–Pompeiu distance; iterated function system; <i>Gn</i>-Menger fractal space, generalized contraction, fixed point, QA1-939, Hausdorff–Pompeiu distance, iterated function system, <i>Gn</i>-Menger fractal space, Mathematics
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Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
O’Regan, Donal...et.al. (2022). "The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces", Mathematics, Vol.10, No.16, pp.1-16.
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Q1
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Q2
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Source
Mathematics
Volume
10
Issue
16
Start Page
2958
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