A Fixed Point Theorem and the Ulam Stability in Generalized Dq-Metric Spaces
| dc.authorid | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| dc.authorscopusid | 6603484602 | |
| dc.authorscopusid | 16678995500 | |
| dc.authorscopusid | 6506016437 | |
| dc.authorwosid | KARAPINAR, ERDAL/H-3177-2011 | |
| dc.authorwosid | Petrusel, Adrian/AAF-1150-2020 | |
| dc.contributor.author | Brzdek, Janusz | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Petrusel, Adrian | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:27:10Z | |
| dc.date.available | 2024-07-05T15:27:10Z | |
| dc.date.issued | 2018 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Brzdek, Janusz] AGH Univ Sci & Technol, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow, Poland; [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Petrusel, Adrian] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca, Romania; [Petrusel, Adrian] Acad Romanian Scientists, Bucharest, Romania | en_US |
| dc.description | KARAPINAR, ERDAL/0000-0002-6798-3254; | en_US |
| dc.description.abstract | We prove a fixed point theorem for function spaces, that is a very efficient and convenient tool for the investigations of various operator inequalities connected to Ulam stability issues, in classes of functions taking values in various spaces (e.g., in ultrametric spaces, dq-metric spaces, quasi-Banach spaces, and p-Banach spaces). The theorem is a natural generalization and extension of the classical Banach Contraction Principle and some other more recent results. (C) 2018 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.citationcount | 30 | |
| dc.identifier.doi | 10.1016/j.jmaa.2018.07.022 | |
| dc.identifier.endpage | 520 | en_US |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85050302767 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 501 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2018.07.022 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2645 | |
| dc.identifier.volume | 467 | en_US |
| dc.identifier.wos | WOS:000441370900029 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Karapınar, Erdal | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 33 | |
| dc.subject | Fixed point | en_US |
| dc.subject | Ulam stability | en_US |
| dc.subject | Dq-metric | en_US |
| dc.subject | Ultrametric | en_US |
| dc.subject | Quasinorm | en_US |
| dc.subject | p-norm | en_US |
| dc.title | A Fixed Point Theorem and the Ulam Stability in Generalized Dq-Metric Spaces | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 33 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 69e25f84-afec-4c79-a19a-1e7811d90143 | |
| relation.isAuthorOfPublication.latestForDiscovery | 69e25f84-afec-4c79-a19a-1e7811d90143 | |
| relation.isOrgUnitOfPublication | 31ddeb89-24da-4427-917a-250e710b969c | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 31ddeb89-24da-4427-917a-250e710b969c |