Krasnosel'skii type compression-expansion fixed point theorem for set contractions and star convex sets

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Facultade de Matemáticases_ES
dc.contributor.authorLois-Prados, Cristina
dc.contributor.authorRodríguez López, Rosana
dc.contributor.authorPrecup, Radu
dc.date.accessioned2024-01-11T08:50:59Z
dc.date.available2024-01-11T08:50:59Z
dc.date.issued2020
dc.descriptionThis is a post-peer-review, pre-copyedit version of an article published in Journal of Fixed Point Theory and Applications. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11784-020-00799-0
dc.description.abstractIn this paper, we give or improve compression-expansion results for set contractions in conical domains determined by balls or star convex sets. In the compression case, we use Potter’s idea of proof, while the expansion case is reduced to the compression one by means of a change of variable. Finally, to illustrate the theory, we give an application to the initial value problem for a system of implicit first order differential equations.es_ES
dc.description.peerreviewedSIes_ES
dc.description.sponsorshipCristina Lois-Prados and Rosana Rodríguez-López acknowledge the support of the research grant MTM2016-75140-P (AEI/FEDER, UE). The research of Cristina Lois-Prados has been partially supported by grant ED481A-2018/080 from Xunta de Galicia.es_ES
dc.identifier.citationC. Lois-Prados, R. Precup, R. Rodríguez-López (2020). Krasnosel'skii type compression-expansion fixed point theorem for set contractions and star convex sets. Journal of Fixed Point Theory and Applications, 22(63).es_ES
dc.identifier.doi10.1007/s11784-020-00799-0
dc.identifier.essn1661-7746
dc.identifier.urihttp://hdl.handle.net/10347/31804
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s11784-020-00799-0es_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacionales_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectcompression-expansion fixed point theoremes_ES
dc.subjectset contractiones_ES
dc.subjectstar convex setes_ES
dc.subjectimplicit differential systemes_ES
dc.subject.classification47H10es_ES
dc.subject.classification34A09es_ES
dc.titleKrasnosel'skii type compression-expansion fixed point theorem for set contractions and star convex setses_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication5325806d-046b-4f29-b878-38d23f1a0d1e
relation.isAuthorOfPublication.latestForDiscovery5325806d-046b-4f29-b878-38d23f1a0d1e

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This is a post-peer-review, pre-copyedit version of an article published in Journal of Fixed Point Theory and Applications. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11784-020-00799-0.
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