Now showing items 1-8 of 8

    • IconA Fredholm mapping of index zero  [Article]

      Soriano Arbizu, José María (Korean Mathematical Society, 2008)
      Sufficient conditions are given to assert that between any two Banach spaces over K Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods.
    • IconA special type of triangulations in numerical nonlinear analysis  [Article]

      Soriano Arbizu, José María (Universitat de Barcelona, 1990)
      To calculate the zeros of a map f : D ⊆ Rn → Rn we consider the class of triangulations of Rn so that a certain point belongs to a simplex of fixed diameter and dimension. In this paper two types of this new class of ...
    • IconA special type of triangulations in numerical nonlinear analysis  [Article]

      Soriano Arbizu, José María (Universidad de Extremadura, 1991)
    • IconA zero of a proper mapping  [Article]

      Soriano Arbizu, José María; Angelov, Vasil Georgiev (Casa Cărţii de Ştiinţă Cluj-Napoca, 2003)
      Sufficient conditions are given to assert that a differentiable proper Fredholm mapping between Banach spaces over K = R or K = C has a zero. The proof of the result is constructive and is based upon continuation methods.
    • IconCompact mappings and proper mappings between Banach spaces that share a value  [Article]

      Soriano Arbizu, José María (Bulgarian Academy of Sciences, 2000)
      Sufficient conditions are given to assert that differentiable compact mappings and differentiable proper mappings between Banach spaces share a value. The conditions involve Fredholm operators. The proof of the result is ...
    • IconFredholm mappings and Banach manifolds  [Article]

      Soriano Arbizu, José María (Korean Mathematical Society, 2009)
      Two C1-mappings, whose domain is a connected compact C1-Banach manifold modelled over a Banach space X over K = R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert ...
    • IconSobre la existencia y el cálculo de ceros de funciones regulares  [Article]

      Soriano Arbizu, José María (Real Academia de Ciencias Exactas, Físicas y Naturales, 1988)
      For a map / of class two a sufficient condition is obtained to secure the existence of a zero of f in the simplex 5 if a piecewise Hnear aproximation 9 of f has a cero in s. Application: for a smooth map F: D ⊆ Cn → Cn a ...
    • IconWeakly coercive mappings sharing a value  [Article]

      Soriano Arbizu, José María (Academy of Sciences of Czech Republic, Mathematical Institute, 2011)
      Some sufficient conditions are provided that guarantee that the difference of a compact mapping and a proper mapping defined between any two Banach spaces over K has at least one zero. When conditions are strengthened, ...