- -

Browsing by Subject "Banach space"

RiuNet: Institutional repository of the Polithecnic University of Valencia

Browsing by Subject "Banach space"

Sort by: Order: Results:

  • thumb
    A note on Mackey topologies on Banach spaces 
    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*) ...
  • thumb
    A note on the Mackey-star topology on a dual Banach space 
    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 ...
  • thumb
    Completeness in the Mackey topology 
    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 ...
  • thumb
    Convergence theorems for finding the split common null point in Banach spaces 
    Suantai, Suthep; Srisap, Kittipong; Naprang, Natthapong; Mamat, Manatsawin; Yundon, Vithoon; Cholamjiak, Prasit (Universitat Politècnica de València, 2017-10-02)
    [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 ...
  • thumb
    Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces 
    Martínez Molada, Eulalia; Singh, S.; Hueso Pagoaga, José Luís; Gupta, D.K. (Elsevier, 2016-04-30)
    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 ...
  • thumb
    Local convergence of a family of iterative methods for Hammerstein equations 
    Martínez Molada, Eulalia; Singh, Sukhjit; Hueso Pagoaga, José Luís; Gupta, D.K. (Springer-Verlag, 2016)
    [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, ...
  • thumb
    Local convergence of a parameter based iteration with Holder continuous derivative in Banach spaces 
    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 ...
  • thumb
    On the convergence of a damped Newton-like method with modified right hand side vector 
    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 ...
  • thumb
    On the convergence of a damped-secant method with modified right-hand side vector 
    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 ...
  • thumb
    On the convergence of a higher order family of methods and its dynamics 
    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 ...
  • thumb
    On topological properties of Fréchet locally convex spaces 
    Gabriyelyan, S.S; Kakol, Jerzy Marian; Kubzdela, Albert; López Pellicer, Manuel (Elsevier, 2015-09-01)
    [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 ...
  • thumb
    Product spaces generated by bilinear maps and duality 
    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 ...
  • thumb
    Semilocal and local convergence of a fifth order iteration with Frechet derivative satisfying Holder condition 
    Singh, S.; Gupta, D.K.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís (Elsevier, 2016-03-05)
    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 ...
  • thumb
    Semilocal convergence of a family of iterative methods in Banach spaces 
    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, ...
  • Icon
    The uniform bounded deciding property and the separable quotient problem 
    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. ...