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Mostrando ítems 21-28 de 28
Artículo
Stable and total Fenchel duality for convex optimization problems in locally convex spaces
(Society for Industrial and Applied Mathematics, 2009)
We consider the optimization problem (PA) infx∈X{f(x) + g(Ax)} where f and g are proper convex functions defined on locally convex Hausdorff topological vector spaces X and Y, respectively, and A is a linear operator from ...
Artículo
What do 'convexities' imply on Hadamard manifolds?
(Springer, 2016-09)
Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and convex hulls) have been recently established on Hadamard manifolds. In this paper we prove that these ...
Artículo
Axiomática para el grado muitivaluado
(Real Academia de Ciencias Exactas, Físicas y Naturales, 1988)
In this paper we develop an axiomatic theory for the multivalued degree that preserves the basic properties of the classical degree. We apply it to obtain fixed point theroems and existence of solution fix) = p. We give a ...
Artículo
The product formula
(Universitat de Barcelona, 1991)
A useful property of the Brouwer degree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps ...
Tesis Doctoral
Espacios hiperconvexos y teoría métrica del punto fijo
(1998)
El objetivo inicial de esta Memoria fue la búsqueda de teoremas de existencia de puntos fijos para aplicaciones condensantes en espacios métricos hiperconvexos. La idea de plantearnos este problema la motivó la lectura de ...
Artículo
A uniform betweenness property in metric spaces and its role in the quantitative analysis of the “Lion-man” game
(MSP, 2021-01-26)
We analyze, based on an interplay between ideas and techniques from logic and geometric analysis, a pursuit-evasion game. More precisely, we focus on a uniform betweenness property and use it in the study of a discrete ...
Tesis Doctoral
Fixed point approximation methods for nonexpansive mappings: optimization problems
(2010)
En esta tesis, se estudia los problemas que aparecen en la conexión entre las teorías de operadores monótonos y aplicaciones no expansivas tanto en espacios lineales como no lineales. El Capítulo 1 está dedicado a diferentes ...