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, M. A.; Martínez Molada, Eulalia; Singh, Sukhjit(Elsevier, 2022-04)
[EN] This work is devoted to solve integral equations formulated in terms of the kernel functions and Nemytskii operators. This type of equations appear in different applied problems such as electrostatics and radiative ...
[EN] The significance of our work is to solve some second-order nonlinear boundary value prob-lems. To do this, we take into account the equivalence of the problems considered with certain integral equations, we will obtain ...
[EN] Solving equations of the form H(x)=0 is one of the most faced problem in mathematics and in other science fields such as chemistry or physics. This kind of equations cannot be solved without the use of iterative ...
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 ...
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] 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 ...
[EN] The convergence analysis both local under weaker Argyros-type conditions and semilocal under. omega-condition is established using first order Frechet derivative for an iteration of fifth order in Banach spaces. This ...
[EN] The directional k-step Newton methods (k a positive integer) is developed for solving a single nonlinear equation in n variables. Its semilocal convergence analysis is established by using two different approaches ...
[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 ...
[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 ...
[EN] In this paper we give a local convergence result for a uniparametric family of iterative methods for nonlinear equations in Banach spaces. We assume boundedness conditions involving only the first Fr,chet derivative, ...
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 ...
[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 ...
[EN] This study is devoted to solve the Chandrasekhar integral equation that it is used for modeling problems in theory of radiative transfer in a plane-parallel atmosphere, and others research areas like the kinetic theory ...
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 ...
[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 ...
[EN] The semilocal convergence of double step Secant method to approximate a locally unique solution of a nonlinear equation is described in Banach space setting. Majorizing sequences are used under the assumption that the ...
[EN] In this work we focus on location and approximation of a solution of nonlinear integral equations of Hammerstein-type when the kernel is non-separable through a high order iterative process. For this purpose, we ...