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 ...
Hernández-Verón, Miguel A.; Yadav, Nisha; Magreñán, A. Alberto; Martínez Molada, Eulalia; Singh, Sukhjit(John Wiley & Sons, 2022-07-30)
[EN] In this work, a uniparametric generalization of the iterative method due to Kurchatov is presented. The iterative model presented is derivative-free and approximates the solution of nonlinear equations when the operator ...
[EN] We consider a generic type of nonlinear Hammerstein-type integral equations with the particularity of having non-differentiable kernel of Nemystkii type. So, in order to solve it we consider a uniparametric family of ...