Now showing items 1-9 of 9

• #### A Fredholm mapping of index zero ﻿ [Article]

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

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

(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 ...
• #### A zero of a proper mapping ﻿ [Article]

(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.
• #### Compact mappings and proper mappings between Banach spaces that share a value ﻿ [Article]

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 ...
• #### Fredholm mappings and Banach manifolds ﻿ [Article]

(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 ...
• #### Sobre la aproximación de puntos fijos ﻿ [Doctoral Thesis]

(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. ...
• #### Sobre la existencia y el cálculo de ceros de funciones regulares ﻿ [Article]

(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 ...
• #### Weakly coercive mappings sharing a value ﻿ [Article]

(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, ...