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 ...
Cordero Barbero, Alicia; Maimo, Javier G.; Rodríguez-Cabral, Antmel; Torregrosa Sánchez, Juan Ramón(MDPI AG, 2023-03)
[EN] In this manuscript, we carry out a study on the generalization of a known family of multipoint scalar iterative processes for approximating the solutions of nonlinear systems. The convergence analysis of the proposed ...
Okeke, Godwin Amechi; Abbas, Mujahid(Universitat Politècnica de València, 2020-04-03)
[EN] It is our purpose in this paper to prove some fixed point results and Fej´er monotonicity of some faster fixed point iterative sequences generated by some nonlinear operators satisfying rational inequality in complex ...
Gutiérrez, José Manuel; Hernández-Verón, Miguel Ángel; Martínez Molada, Eulalia(MDPI AG, 2020-10)
[EN] This work is devoted to Fredholm integral equations of second kind with non-separable kernels. Our strategy is to approximate the non-separable kernel by using an adequate Taylor's development. Then, we adapt an already ...