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Domain of Existence and Uniqueness for Nonlinear Hammerstein Integral Equations

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Domain of Existence and Uniqueness for Nonlinear Hammerstein Integral Equations

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dc.contributor.author Singh, Sukhjit es_ES
dc.contributor.author Martínez Molada, Eulalia es_ES
dc.contributor.author Kumar, Abhimanyu es_ES
dc.contributor.author Gupta, D. K. es_ES
dc.date.accessioned 2021-02-24T04:31:47Z
dc.date.available 2021-02-24T04:31:47Z
dc.date.issued 2020-03 es_ES
dc.identifier.uri http://hdl.handle.net/10251/162244
dc.description.abstract [EN] In this work, we performed an study about the domain of existence and uniqueness for an efficient fifth order iterative method for solving nonlinear problems treated in their infinite dimensional form. The hypotheses for the operator and starting guess are weaker than in the previous studies. We assume omega continuity condition on second order Frechet derivative. This fact it is motivated by showing different problems where the nonlinear operators that define the equation do not verify Lipschitz and Holder condition; however, these operators verify the omega condition established. Then, the semilocal convergence balls are obtained and the R-order of convergence and error bounds can be obtained by following thee main theorem. Finally, we perform a numerical experience by solving a nonlinear Hammerstein integral equations in order to show the applicability of the theoretical results by obtaining the existence and uniqueness balls. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Economia y Competitividad under grant PGC2018-095896-B-C22. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Semilocal convergence es_ES
dc.subject Lipschitz condition es_ES
dc.subject Holder condition es_ES
dc.subject Hammerstein integral equation es_ES
dc.subject Dynamical systems es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Domain of Existence and Uniqueness for Nonlinear Hammerstein Integral Equations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math8030384 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-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Singh, S.; Martínez Molada, E.; Kumar, A.; Gupta, DK. (2020). Domain of Existence and Uniqueness for Nonlinear Hammerstein Integral Equations. Mathematics. 8(3):1-11. https://doi.org/10.3390/math8030384 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math8030384 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 11 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 3 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\406773 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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