Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav(Elsevier, 2017)
[EN] There is a maybe unexpected connection between three apparently unrelated notions concerning a given w*-dense subspace Y of the dual X* of a Banach space X: (i) The norming character of Y, (ii) the fact that (Y, w*) ...
Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente(Springer-Verlag, 2015)
[EN] By using a result in Kirk (Pac J Math 45:543 554, 1973), we show that there are separable Banach spaces such that their dual spaces, endowed with the Mackey-star topology, are not analytic. This solves a question ...
Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente(Springer Verlag, 2015-04)
Bonet and Cascales [Non-complete Mackey topologies on Banach spaces, Bulletin of the Australian Mathematical Society, 81, 3 (2010), 409-413], answering a question of M. Kunze and W. Arendt, gave an example of a norming ...
[EN] In this paper, we introduce a new iterative scheme for solving the split common null point problem. We then prove the strong convergence theorem under suitable conditions. Finally, we give some numerical examples for ...
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 ...
[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 ...
Argyros, Ioannis K.; Cordero Barbero, Alicia; Magreñán Ruiz, Ángel Alberto; Torregrosa Sánchez, Juan Ramón(Elsevier, 2015-09-01)
[EN] We present a convergence analysis for a damped Newton-like method with modified righthand
side vector in order to approximate a locally unique solution of a nonlinear equation in
a Banach spaces setting. In the ...
Argyros, Ioannis K.; Cordero Barbero, Alicia; Magreñán Ruiz, Ángel Alberto; Torregrosa Sánchez, Juan Ramón(Elsevier, 2015-02-01)
[EN] We present a convergence analysis for a Damped Secant method with modified right-hand
side vector in order to approximate a locally unique solution of a nonlinear equation in a
Banach spaces setting. In the special ...
Argyros, Ioannis K.; Cordero Barbero, Alicia; Alberto Magreñán, A.; Torregrosa Sánchez, Juan Ramón(Elsevier, 2017)
[EN] In this paper, we present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some ...
[EN] We describe the topology of any cosmic space and any N-o-space in terms of special bases defined by partially ordered sets. Using this description we show that a Baire cosmic group is metrizable. Next, we study those ...
Sánchez Pérez, Enrique Alfonso(Akademie věd České republiky, Matematický ústav, 2015)
In this paper we analyse a definition of a product of Banach spaces that
is naturally associated by duality with a space of operators that can be considered as
a generalization of the notion of space of multiplication ...
The semilocal and local convergence in Banach spaces is described for a fifth order iteration for the solutions of nonlinear equations when the Frechet derivative satisfies the Holder condition. The Holder condition ...
Hueso Pagoaga, José Luís; Martínez Molada, Eulalia(Springer-Verlag, 2014)
[EN] In this work, we prove a third and fourth convergence order result for a family of iterative methods for solving nonlinear systems in Banach spaces. We analyze the semilocal convergence by using recurrence relations, ...
López Alfonso, Salvador; Moll López, Santiago Emmanuel(Springer-Verlag, 2019)
[EN] Saxon-Wilansky's paper "The equivalence of some Banach space problems" contains six properties equivalent to the existence of an infinite dimensional separable quotient in a Banach space with nice simplified proofs. ...