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Interpolative contractions and discontinuity at fixed point

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Interpolative contractions and discontinuity at fixed point

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dc.contributor.author Taş, Nihal es_ES
dc.date.accessioned 2023-05-02T06:56:05Z
dc.date.available 2023-05-02T06:56:05Z
dc.date.issued 2023-04-05
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/193026
dc.description.abstract [EN] In this paper, we investigate new solutions to the Rhoades’ discontinuity problem on the existence of a self-mapping which has a fixed point but is not continuous at the fixed point on metric spaces. To do this, we use the number defined as n(x,y)=[d(x,y)]β[d(x,Ty)]α[d(x,Ty)]γ[(d(x,Ty)+d(x,Ty))/2]1−α−β−γ, where α , β , γ ∈ ( 0,1 ) with α + β + γ < 1 and some interpolative type contractive conditions. Also, we investigate some geometric properties of Fix(T) under some interpolative type contractions and prove some fixed-disc (resp. fixed-circle) results. Finally, we present a new application to the discontinuous activation functions. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Rhoades' open problem es_ES
dc.subject Fixed-circle problem es_ES
dc.subject Interpolative type contractive condition es_ES
dc.title Interpolative contractions and discontinuity at fixed point es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2023.18552
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Taş, N. (2023). Interpolative contractions and discontinuity at fixed point. Applied General Topology. 24(1):145-156. https://doi.org/10.4995/agt.2023.18552 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2023.18552 es_ES
dc.description.upvformatpinicio 145 es_ES
dc.description.upvformatpfin 156 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 24 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\18552 es_ES
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