A Fixed Point Theorem and the Ulam Stability in Generalized Dq-Metric Spaces
| dc.contributor.author | Brzdek, Janusz | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Petrusel, Adrian | |
| dc.date.accessioned | 2024-07-05T15:27:10Z | |
| dc.date.available | 2024-07-05T15:27:10Z | |
| dc.date.issued | 2018 | |
| 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.doi | 10.1016/j.jmaa.2018.07.022 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.scopus | 2-s2.0-85050302767 | |
| 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.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | en_US |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| 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 |
| dspace.entity.type | Publication | |
| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
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| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
| gdc.author.wosid | Petrusel, Adrian/AAF-1150-2020 | |
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| gdc.coar.access | open access | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.endpage | 520 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 501 | en_US |
| gdc.description.volume | 467 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2883579719 | |
| gdc.identifier.wos | WOS:000441370900029 | |
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| gdc.oaire.keywords | ultrametric | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | fixed point | |
| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
| gdc.oaire.keywords | dq-metric | |
| gdc.oaire.keywords | Ulam stability | |
| gdc.oaire.keywords | \(p\)-norm | |
| gdc.oaire.keywords | Topological spaces with richer structures | |
| gdc.oaire.keywords | quasi-norm | |
| gdc.oaire.popularity | 2.0709038E-8 | |
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| gdc.virtual.author | Karapınar, Erdal | |
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