The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces

Donal O’Regan; Reza Saadati; Chenkuan Li; Fahd Jarad

doi:10.3390/math10162958

The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces

Donal O’Regan
, Reza Saadati
, Chenkuan Li
, Fahd Jarad

Mathematics

Iran University of Science and Technology
Brandon University
Cankaya University
China Medical University Hospital

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

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

Original language	English
Article number	2958
Journal	Mathematics
Volume	10
Issue number	16
DOIs	https://doi.org/10.3390/math10162958
Publication status	Published - Aug 2022

Keywords

fixed point
generalized contraction
Gn-Menger fractal space
Hausdorff–Pompeiu distance
iterated function system

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10.3390/math10162958

Cite this

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title = "The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces",

abstract = "This paper introduces a complete (Formula presented.) -Menger space and defines the Hausdorff–Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for (Formula presented.) -Menger- (Formula presented.) -contractions in fractal spaces.",

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AU - Jarad, Fahd

PY - 2022/8

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AB - This paper introduces a complete (Formula presented.) -Menger space and defines the Hausdorff–Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for (Formula presented.) -Menger- (Formula presented.) -contractions in fractal spaces.

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KW - generalized contraction

KW - Gn-Menger fractal space

KW - Hausdorff–Pompeiu distance

KW - iterated function system

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The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces

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Keywords

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