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Article: A drop theorem without vector topology

TitleA drop theorem without vector topology
Authors
KeywordsBornological vector space
Caristi fixed point theorem
Drop theorem
Ekeland variational principle
Issue Date2007
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa
Citation
Journal of Mathematical Analysis and Applications, 2007, v. 329 n. 1, p. 452-471 How to Cite?
AbstractDaneš' drop theorem is extended to bornological vector spaces. An immediate application is to establish Ekeland-type variational principle and its equivalence, Caristi fixed point theorem, in bornological vector spaces. Meanwhile, since every locally convex space becomes a convex bornological vector space when equipped with the canonical von Neumann bornology, Qiu's generalization of Daneš' work to locally convex spaces is recovered.
Persistent Identifierhttp://hdl.handle.net/10722/225167
ISSN
2015 Impact Factor: 1.014
2015 SCImago Journal Rankings: 1.161

 

DC FieldValueLanguage
dc.contributor.authorWong, CW-
dc.date.accessioned2016-04-26T07:58:30Z-
dc.date.available2016-04-26T07:58:30Z-
dc.date.issued2007-
dc.identifier.citationJournal of Mathematical Analysis and Applications, 2007, v. 329 n. 1, p. 452-471-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/10722/225167-
dc.description.abstractDaneš' drop theorem is extended to bornological vector spaces. An immediate application is to establish Ekeland-type variational principle and its equivalence, Caristi fixed point theorem, in bornological vector spaces. Meanwhile, since every locally convex space becomes a convex bornological vector space when equipped with the canonical von Neumann bornology, Qiu's generalization of Daneš' work to locally convex spaces is recovered.-
dc.languageeng-
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa-
dc.relation.ispartofJournal of Mathematical Analysis and Applications-
dc.subjectBornological vector space-
dc.subjectCaristi fixed point theorem-
dc.subjectDrop theorem-
dc.subjectEkeland variational principle-
dc.titleA drop theorem without vector topology-
dc.typeArticle-
dc.identifier.emailWong, CW: cwwong@submaths.hku.hk-
dc.identifier.doi10.1016/j.jmaa.2006.06.086-
dc.identifier.scopuseid_2-s2.0-33846313984-
dc.identifier.hkuros137058-
dc.identifier.volume329-
dc.identifier.issue1-
dc.identifier.spage452-
dc.identifier.epage471-
dc.publisher.placeUnited States-

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