Now showing items 1-9 of 9

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      A 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.
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      A special type of triangulations in numerical nonlinear analysis  [Article]

      Soriano Arbizu, José María (Universidad de Extremadura, 1991)
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      A 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 ...
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      A 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.
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      Compact 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 ...
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      Fredholm 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 ...
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      Sobre la aproximación de puntos fijos  [Doctoral Thesis]

      Soriano Arbizu, José María (1987)
      "Construcción de un algoritmo para calcular los ceros de funciones f: cU implica cU enteras. Es un método directo basado en los siguientes conceptos: 1) Homotopiah. 2) Triangulaciones del dominio de definición de H. ...
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      Sobre 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 ...
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      Weakly 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, ...