On the Weak Form of Ekeland's Variational Principle in Quasi-Metric Spaces

dc.contributor.author Karapinar, Erdal
dc.contributor.author Romaguera, Salvador
dc.date.accessioned 2024-07-05T14:31:32Z
dc.date.available 2024-07-05T14:31:32Z
dc.date.issued 2015
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.doi 10.1016/j.topol.2015.01.011
dc.identifier.issn 0166-8641
dc.identifier.issn 1879-3207
dc.identifier.scopus 2-s2.0-84921944195
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.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.ispartof Topology and its Applications
dc.rights info:eu-repo/semantics/openAccess en_US
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
dspace.entity.type Publication
gdc.author.id KARAPINAR, ERDAL/0000-0002-6798-3254
gdc.author.id Romaguera, Salvador/0000-0001-7857-6139
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gdc.author.wosid Romaguera, Salvador/GPJ-9740-2022
gdc.author.wosid KARAPINAR, ERDAL/H-3177-2011
gdc.author.wosid Romaguera, Salvador/H-1392-2015
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gdc.description.department Atılım University en_US
gdc.description.departmenttemp [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
gdc.description.endpage 60 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.startpage 54 en_US
gdc.description.volume 184 en_US
gdc.description.wosquality Q3
gdc.identifier.openalex W2070354837
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gdc.oaire.keywords Ekeland’s Variational Principle
gdc.oaire.keywords Caristi’s fixed point theorem
gdc.oaire.keywords Quasi-metric space
gdc.oaire.keywords MATEMATICA APLICADA
gdc.oaire.keywords Right K-sequentially complete
gdc.oaire.keywords right K-sequentially complete
gdc.oaire.keywords Fixed-point and coincidence theorems (topological aspects)
gdc.oaire.keywords quasi-metric space
gdc.oaire.keywords Ekeland's variational principle
gdc.oaire.keywords Variational principles in infinite-dimensional spaces
gdc.oaire.keywords Complete metric spaces
gdc.oaire.keywords Caristi's fixed point theorem
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gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 21
gdc.plumx.crossrefcites 4
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gdc.virtual.author Karapınar, Erdal
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