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The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces

Authors :
Donal O’Regan
Reza Saadati
Chenkuan Li
Fahd Jarad
Source :
Mathematics; Volume 10; Issue 16; Pages: 2958
Publication Year :
2022
Publisher :
Multidisciplinary Digital Publishing Institute, 2022.

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-θ-contractions in fractal spaces.

Details

Language :
English
ISSN :
22277390
Database :
OpenAIRE
Journal :
Mathematics; Volume 10; Issue 16; Pages: 2958
Accession number :
edsair.doi.dedup.....e37b70d552a82159ebc9c8ac92cc8f7a
Full Text :
https://doi.org/10.3390/math10162958