On the Weak Form of Ekeland's Variational Principle in Quasi-Metric Spaces
| dc.authorid | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| dc.authorid | Romaguera, Salvador/0000-0001-7857-6139 | |
| dc.authorscopusid | 16678995500 | |
| dc.authorscopusid | 7004365128 | |
| dc.authorwosid | Romaguera, Salvador/GPJ-9740-2022 | |
| dc.authorwosid | KARAPINAR, ERDAL/H-3177-2011 | |
| dc.authorwosid | Romaguera, Salvador/H-1392-2015 | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Romaguera, Salvador | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T14:31:32Z | |
| dc.date.available | 2024-07-05T14:31:32Z | |
| dc.date.issued | 2015 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Karapinar, Erdal] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21589, Saudi Arabia; [Romaguera, Salvador] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46022 Valencia, Spain | en_US |
| dc.description | KARAPINAR, ERDAL/0000-0002-6798-3254; Romaguera, Salvador/0000-0001-7857-6139 | en_US |
| dc.description.abstract | We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Eke land's Variational Principle. This result solves a question raised by S. Cobzas (2011) [3]. (C) 2015 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | Ministry of Economy and Competitiveness of Spain [MTM2012-37894-C02-01] | en_US |
| dc.description.sponsorship | The authors are very grateful to the referee for a careful reading of the paper and several useful suggestions and comments which allowed a substantial improvement of the first version. Salvador Romaguera acknowledges the support of the Ministry of Economy and Competitiveness of Spain, Grant MTM2012-37894-C02-01 | en_US |
| dc.identifier.citationcount | 25 | |
| dc.identifier.doi | 10.1016/j.topol.2015.01.011 | |
| dc.identifier.endpage | 60 | en_US |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.issn | 1879-3207 | |
| dc.identifier.scopus | 2-s2.0-84921944195 | |
| dc.identifier.startpage | 54 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.topol.2015.01.011 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/702 | |
| dc.identifier.volume | 184 | en_US |
| dc.identifier.wos | WOS:000351249400006 | |
| dc.identifier.wosquality | Q3 | |
| dc.institutionauthor | Karapınar, Erdal | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | 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 | 27 | |
| dc.subject | Quasi-metric space | en_US |
| dc.subject | Right K-sequentially complete | en_US |
| dc.subject | Ekeland's Variational Principle | en_US |
| dc.subject | Caristi's fixed point theorem | en_US |
| dc.title | On the Weak Form of Ekeland's Variational Principle in Quasi-Metric Spaces | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 25 | |
| dspace.entity.type | Publication | |
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