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Listar por palabra clave "Lipschitz condition"

Mostrando ítems 1-6 de 6

Domain of Existence and Uniqueness for Nonlinear Hammerstein Integral Equations

Singh, Sukhjit; Martínez Molada, Eulalia; Kumar, Abhimanyu; Gupta, D. K. (MDPI AG, 2020-03)

[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 ...
Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces

Martínez Molada, Eulalia; Singh, S.; Hueso Pagoaga, José Luís; Gupta, D.K. (Elsevier, 2016-04-30)

In this work we introduce a new form of setting the general assumptions for the local convergence studies of iterative methods in Banach spaces that allows us to improve the convergence domains. Specifically a local ...
Local convergence of a parameter based iteration with Holder continuous derivative in Banach spaces

Singh, Sukhjit; Gupta, D. K.; Badoni, Rakesh P.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís (Springer-Verlag, 2017)

[EN] The local convergence analysis of a parameter based iteration with Hölder continuous first derivative is studied for finding solutions of nonlinear equations in Banach spaces. It generalizes the local convergence ...
Localization and separation of solutions for Fredholm integral equations

Hernández-Verón, Miguel Angel; IBAÑEZ, MARIA; Martínez Molada, Eulalia; Singh, Sukhjit (Elsevier, 2020-07-15)

[EN] In this paper, we establish a qualitative study of nonlinear Fredholm integral equations, where we will carry out a study on the localization and separation of solutions. Moreover, we consider an efficient algorithm ...
Recurrence relations for a family of iterations assuming Holder continuous second order Frechet derivative

Gupta, Dharmendra Kumar; Martínez Molada, Eulalia; Singh, Sukhjit; Hueso, Jose Luis; Srivastava, Shwetabh; Kumar, Abhimanyu (Walter de Gruyter GmbH, 2021-06-01)

[EN] The semilocal convergence using recurrence relations of a family of iterations for solving nonlinear equations in Banach spaces is established. It is done under the assumption that the second order Frechet derivative ...
Semilocal Convergence Analysis of an Iteration of Order Five Using Recurrence Relations in Banach Spaces

Singh, Sukhjit; Gupta, D.K.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís (Springer-Verlag, 2016)

[EN] Semilocal convergence for an iteration of order five for solving nonlinear equations in Banach spaces is established under second-order Fr,chet derivative satisfying the Lipschitz condition. It is done by deriving a ...