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1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
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On the existence of a fuzzy integral equation of Urysohn-Volterra type

100%
Darwish M.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2008
|
tom 28
|
nr 1
75-82
EN
We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.
2
Content available remote

Minimality in asymmetry classes

100%
Wiernowolski M.
Studia Mathematica
|
1997
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tom 124
|
nr 2
149-154
EN
We examine minimality in asymmetry classes of convex compact sets with respect to inclusion. We prove that each class has a minimal element. Moreover, we show there is a connection between asymmetry classes and the Rådström-Hörmander lattice. This is used to present an alternative solution to the problem of minimality posed by G. Ewald and G. C. Shephard in [4].
3
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The Demyanov metric and some other metrics in the family of convex sets

100%
Rzeżuchowski T.
Open Mathematics
|
2012
|
tom 10
|
nr 6
2229-2239
EN
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.
4
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Properties of set-valued stochastic integrals

88%
Motyl J., Syga J.
Discussiones Mathematicae Probability and Statistics
|
2006
|
tom 26
|
nr 1
83-103
EN
We introduce set-valued stochastic integrals driven by a square-integrable martingale and by a semimartingale. We investigate properties of both integrals.
5
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F-limit points in dynamical systems defined on the interval

63%
Szuca P.
Open Mathematics
|
2013
|
tom 11
|
nr 1
170-176
EN
Given a free ultrafilter p on ℕ we say that x ∈ [0, 1] is the p-limit point of a sequence (x n)n∈ℕ ⊂ [0, 1] (in symbols, x = p -limn∈ℕ x n) if for every neighbourhood V of x, {n ∈ ℕ: x n ∈ V} ∈ p. For a function f: [0, 1] → [0, 1] the function f p: [0, 1] → [0, 1] is defined by f p(x) = p -limn∈ℕ f n(x) for each x ∈ [0, 1]. This map is rarely continuous. In this note we study properties which are equivalent to the continuity of f p. For a filter F we also define the ω F-limit set of f at x. We consider a question about continuity of the multivalued map x → ω fF(x). We point out some connections between the Baire class of f p and tame dynamical systems, and give some open problems.
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