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Jan Palata (1980)
Aplikace matematiky
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In the paper a necessary condition is given for the existence of a minimal point of once continuously differentiable (generally non-convex) function over a general set.
L. Low (1976)
Acta Arithmetica
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Miroslav Fiedler, Vlastimil Pták (1978)
Czechoslovak Mathematical Journal
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Charles McArthur (1970)
Studia Mathematica
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L. Zajíček (1974)
Fundamenta Mathematicae
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Nicu Boboc, Gheorghe Bucur, A. Cornea (1975)
Annales de l'institut Fourier
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The -cone is an abstract model for the cone of positive superharmonic functions on a harmonic space or for the cone of excessive functions with respect to a resolvent family, having sufficiently many properties in order to develop a good deal of balayage theory and also to construct a dual concept which is also an -cone. There are given an integral representation theorem and a representation theorem as an -cone of functions for which fine topology, thinnes, negligible sets and the...
Andrew D. Burbanks, Colin T. Sparrow, Roger D. Nussbaum (2003)
Kybernetika
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Maps defined on the interior of the standard non-negative cone in which are both homogeneous of degree and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have...