The Hausdorff-Pompeiu Distance in Gn-Menger Fractal Spaces
| dc.contributor.author | Saadati, Reza | |
| dc.contributor.author | Li, Chenkuan | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | O'Regan, Donal | |
| dc.date.accessioned | 2024-05-08T08:22:58Z | |
| dc.date.accessioned | 2025-09-18T12:49:42Z | |
| dc.date.available | 2024-05-08T08:22:58Z | |
| dc.date.available | 2025-09-18T12:49:42Z | |
| dc.date.issued | 2022 | |
| dc.description | Li, Chenkuan/0000-0001-7098-8059; Saadati, Reza/0000-0002-6770-6951 | en_US |
| dc.description.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. | en_US |
| dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada [2019-03907] | en_US |
| dc.description.sponsorship | Chenkuan Li is supported by the Natural Sciences and Engineering Research Council of Canada (grant no. 2019-03907). | en_US |
| dc.identifier.citation | O’Regan, Donal...et.al. (2022). "The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces", Mathematics, Vol.10, No.16, pp.1-16. | en_US |
| dc.identifier.doi | 10.3390/math10162958 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85137412279 | |
| dc.identifier.uri | https://doi.org/10.3390/math10162958 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12454 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Generalized Contraction | en_US |
| dc.subject | Hausdorff-Pompeiu Distance | en_US |
| dc.subject | Iterated Function System | en_US |
| dc.subject | Gn-Menger Fractal Space | en_US |
| dc.title | The Hausdorff-Pompeiu Distance in Gn-Menger Fractal Spaces | en_US |
| dc.title | The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Li, Chenkuan/0000-0001-7098-8059 | |
| gdc.author.id | Saadati, Reza/0000-0002-6770-6951 | |
| gdc.author.scopusid | 36049459000 | |
| gdc.author.scopusid | 15926186800 | |
| gdc.author.scopusid | 57203273420 | |
| gdc.author.scopusid | 15622742900 | |
| gdc.author.wosid | O'Regan, Donal/I-3184-2015 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Saadati, Reza/C-6330-2018 | |
| gdc.author.yokid | 234808 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [O'Regan, Donal] Natl Univ Ireland, Sch Math & Stat Sci, Univ Rd, Galway H91 TK33, Ireland; [Saadati, Reza] Iran Univ Sci & Technol, Sch Math, Tehran 1311416846, Iran; [Li, Chenkuan] Brandon Univ, Dept Math & Comp Sci, Brandon, MB R7A 6A9, Canada; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Jarad, Fahd] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.issue | 16 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 2958 | |
| gdc.description.volume | 10 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W4292261102 | |
| gdc.identifier.wos | WOS:000846569300001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 0.0 | |
| gdc.oaire.influence | 2.4895952E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | fixed point; generalized contraction; Hausdorff–Pompeiu distance; iterated function system; <i>Gn</i>-Menger fractal space | |
| gdc.oaire.keywords | generalized contraction | |
| gdc.oaire.keywords | fixed point | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Hausdorff–Pompeiu distance | |
| gdc.oaire.keywords | iterated function system | |
| gdc.oaire.keywords | <i>Gn</i>-Menger fractal space | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.popularity | 1.7808596E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0202 electrical engineering, electronic engineering, information engineering | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.0 | |
| gdc.openalex.normalizedpercentile | 0.16 | |
| gdc.opencitations.count | 0 | |
| gdc.plumx.scopuscites | 0 | |
| gdc.publishedmonth | 8 | |
| gdc.scopus.citedcount | 0 | |
| gdc.virtual.author | Jarad, Fahd | |
| gdc.wos.citedcount | 0 | |
| relation.isAuthorOfPublication | c818455d-5734-4abd-8d29-9383dae37406 | |
| relation.isAuthorOfPublication.latestForDiscovery | c818455d-5734-4abd-8d29-9383dae37406 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |
