Degree theory for discontinuous operators

dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorFigueroa Sestelo, Rubén
dc.contributor.authorLópez Pouso, Rodrigo
dc.contributor.authorRodríguez López, Jorge
dc.date.accessioned2025-12-30T07:30:07Z
dc.date.available2025-12-30T07:30:07Z
dc.date.issued2021
dc.description.abstractWe introduce a new definition of topological degree for a meaningful class of operators which need not be continuous. Subsequently, we derive a number of fixed point theorems for such operators. As an application, we deduce a new existence result for first–order ODEs with discontinuous nonlinearities.
dc.description.peerreviewedSI
dc.description.sponsorshipRodrigo Lopez Pouso was partially supported by Ministerio de Economıa y Competitividad, Spain, and FEDER, Project MTM2016-75140-P, and Xunta de Galicia ED341D R2016/022 and GRC2015/004. Jorge Rodriguez-Lopez was financially supported by Xunta de Galicia under grant ED481A-2017/178.
dc.identifier.citationFigueroa, R., López, R., Rodríguz-López, J. (2021). Degree theory for discontinuous operators. Fixed Point Theory, 22(1), 141-156
dc.identifier.essn2066-9208
dc.identifier.issn10.24193/fpt-ro.2021.1.10
dc.identifier.urihttps://hdl.handle.net/10347/44824
dc.journal.titleFixed Point Theory
dc.language.isoeng
dc.publisherHouse of the Book of Science Cluj-Napoca
dc.relation.publisherversionhttp://doi.org/10.24193/fpt-ro.2021.1.10
dc.rights.accessRightsopen access
dc.subjectDegree theory
dc.subjectLeray-Schauder degree
dc.subjectDiscontinuous differential equations
dc.titleDegree theory for discontinuous operators
dc.typejournal article
dc.type.hasVersionVoR
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery9da1ecb4-9282-44de-b980-06419df2860f

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