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dc.contributor.author | Hernández-Verón, Miguel A. | es_ES |
dc.contributor.author | Singh, Sukhjit | es_ES |
dc.contributor.author | Martínez, Eulalia | es_ES |
dc.contributor.author | Yadav, Nisha | es_ES |
dc.date.accessioned | 2024-06-25T18:12:01Z | |
dc.date.available | 2024-06-25T18:12:01Z | |
dc.date.issued | 2024 | es_ES |
dc.identifier.issn | 1392-6292 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/205460 | |
dc.description.abstract | [EN] In this paper, we present a new fixed-point result to draw conclusions about the existence and uniqueness of the solution for a nonlinear Fredholm integral equation of the second kind with non -differentiable Nemytskii operator. To do this, we will transform the problem of locating a fixed point for an integral operator into the problem of locating a solution of an integral equation. Thus, assuming conditions on the Nemytskii operator, we will obtain a global convergence domain for the solution of the considered integral equation, taking for this a uniparametric family of derivativefree iterative processes with quadratic convergence. This result provides us a new fixed-point result for the integral operator considered. | es_ES |
dc.description.sponsorship | This research was partially supported by Ministerio de Economia y Competitividad under grant PGC2018-095896-B-C21-C22 and by the project EEQ/2018/000720 under Science and Engineering Research Board. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Vilnius Gediminas Technical University | es_ES |
dc.relation.ispartof | Mathematical Modelling and Analysis | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Fixed point theorem | es_ES |
dc.subject | Global convergence | es_ES |
dc.subject | Fredholm integral equations | es_ES |
dc.subject | Derivative-free iterative processes | es_ES |
dc.title | A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3846/mma.2024.18338 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C21/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/SERB//EEQ%2F2018%2F000720/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Hernández-Verón, MA.; Singh, S.; Martínez, E.; Yadav, N. (2024). A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations. Mathematical Modelling and Analysis. 29(1):161-177. https://doi.org/10.3846/mma.2024.18338 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3846/mma.2024.18338 | es_ES |
dc.description.upvformatpinicio | 161 | es_ES |
dc.description.upvformatpfin | 177 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 29 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.pasarela | S\520744 | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
dc.contributor.funder | Science and Engineering Research Board, India | es_ES |