Some examples of continuous images of Radon-Nikodým compact spaces

Alexander D. Arvanitakis; Antonio Avilés

Displaying similar documents to “Some examples of continuous images of Radon-Nikodým compact spaces”

Retractions onto the Space of Continuous Divergence-free Vector Fields

Philippe Bouafia (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of $m$ -charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset $X \subseteq ℝ^{n}$ satisfying a mild geometric condition, there is no uniformly continuous representation operator for $m$ -charges in $X$ .

On the periodicity of a difference equation with maximum.

Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2008)

Discrete Dynamics in Nature and Society

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Extremal solutions and relaxation for second order vector differential inclusions

Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1998)

Archivum Mathematicum

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In this paper we consider periodic and Dirichlet problems for second order vector differential inclusions. First we show the existence of extremal solutions of the periodic problem (i.e. solutions moving through the extreme points of the multifunction). Then for the Dirichlet problem we show that the extremal solutions are dense in the $C^{1} (T, R^{N})$ -norm in the set of solutions of the “convex” problem (relaxation theorem).