Uniform convergence on spaces of multifunctions
Dušan Holý (2007)
Mathematica Slovaca
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Dušan Holý (2007)
Mathematica Slovaca
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Ľubica Holá (1988)
Mathematica Slovaca
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Sosov, E.N. (2001)
Lobachevskii Journal of Mathematics
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Monica Boriceanu, Marius Bota, Adrian Petruşel (2010)
Open Mathematics
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Fractals and multivalued fractals play an important role in biology, quantum mechanics, computer graphics, dynamical systems, astronomy and astrophysics, geophysics, etc. Especially, there are important consequences of the iterated function (or multifunction) systems theory in several topics of applied sciences. It is known that examples of fractals and multivalued fractals are coming from fixed point theory for single-valued and multivalued operators, via the so-called fractal and multi-fractal...
C. J. Himmelberg (1973)
Rendiconti del Seminario Matematico della Università di Padova
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Tadeusz Rzeżuchowski (2012)
Open Mathematics
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We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.
Romaguera, Salvador (2010)
Fixed Point Theory and Applications [electronic only]
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V. Indumathi (2004)
Colloquium Mathematicae
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Let X be a closed subspace of c₀. We show that the metric projection onto any proximinal subspace of finite codimension in X is Hausdorff metric continuous, which, in particular, implies that it is both lower and upper Hausdorff semicontinuous.
Ljubomir Ćirić (1976)
Publications de l'Institut Mathématique
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