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A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations

Hernández-Verón, Miguel A.; Singh, Sukhjit; Martínez, Eulalia; Yadav, Nisha (Vilnius Gediminas Technical University, 2024)

[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 ...
An improvement of derivative-free point-to-point iterative processes with central divided differences

Hernández-Verón, Miguel Angel; Magreñán, Ángel Alberto; Martínez Molada, Eulalia; Singh, Sukhjit (Walter de Gruyter GmbH, 2023-11-21)

[EN] In this article, we introduce a new Steffensen-type method with the advantage that its behavior is very similar to Newton's method; therefore, it is a very remarkable way of avoiding the drawback that Newton's method ...
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device

Villalba, Eva G.; Hueso, José L.; Martínez Molada, Eulalia (Taylor & Francis, 2023-09-02)

[EN] It is well known that the Steffensen-type methods approximate the derivative appearing in Newton's scheme by means of the first-order divided difference operator. The generalized multistep Steffensen iterative method ...

Mostrando ítems 1-3 de 3