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dc.contributor.author | Kumar, A. | es_ES |
dc.contributor.author | Gupta, D.K. | es_ES |
dc.contributor.author | Martínez Molada, Eulalia | es_ES |
dc.contributor.author | Singh, Sukhjit | es_ES |
dc.date.accessioned | 2019-05-11T20:04:27Z | |
dc.date.available | 2019-05-11T20:04:27Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 1076-2787 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/120364 | |
dc.description.abstract | [EN] Thesemilocal and local convergence analyses of a two-step iterative method for nonlinear nondifferentiable operators are described in Banach spaces. The recurrence relations are derived under weaker conditions on the operator. For semilocal convergence, the domain of the parameters is obtained to ensure guaranteed convergence under suitable initial approximations. The applicability of local convergence is extended as the differentiability condition on the involved operator is avoided. The region of accessibility and a way to enlarge the convergence domain are provided. Theorems are given for the existence-uniqueness balls enclosing the unique solution. Finally, some numerical examples including nonlinear Hammerstein type integral equations are worked out to validate the theoretical results. | es_ES |
dc.description.sponsorship | This research was supported in part by the project of Generalitat Valenciana Prometeo/2016/089 and MTM2014-52016-C2-2-P of the Spanish Ministry of Science and Innovation. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | John Wiley & Sons | es_ES |
dc.relation.ispartof | Complexity | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1155/2018/7352780 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./ | 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 | Kumar, A.; Gupta, D.; Martínez Molada, E.; Singh, S. (2018). Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces. Complexity. 1-11. https://doi.org/10.1155/2018/7352780 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1155/2018/7352780 | 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.relation.pasarela | S\368273 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Ministerio de Economía y Empresa | es_ES |