Location of min-max critical points for multivalued functionals
Alexandru Kristály, Csaba Varga (2001)
Acta Universitatis Carolinae. Mathematica et Physica
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Alexandru Kristály, Csaba Varga (2001)
Acta Universitatis Carolinae. Mathematica et Physica
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Fundamenta Mathematicae
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Let (X,f) be a dynamical system. In general the set of all ω-limit sets of f is not closed in the hyperspace of closed subsets of X. In this paper we study the case when X is a graph, and show that the family of ω-limit sets of a graph map is closed with respect to the Hausdorff metric.
Harary, Frank, Hedetniemi, Stephen, Prins, Geert (1967)
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Commentationes Mathematicae Universitatis Carolinae
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