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Tytuł:
On type-2 m-topological spaces
Autorzy:
Nazmul, Sk.
Powiązania:
https://bibliotekanauki.pl/articles/744630.pdf
Data publikacji:
2017-12-01
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
Multi sets
multi topologies
multi subspace
m2-topologies
mgp-maps
Opis:
In the present paper, we define a notion of an m2-topological space by introducing a count of openness of a multiset (mset in short) and study the properties of m2-subspaces, mgp-maps etc. Decomposition theorems involving m-topologies and m2-topologies are established. The behaviour of the functional image and functional preimage of an m2-topologies, the continuity of the identity mapping and a constant mapping in m2-topologies are also examined.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2017, 16
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Duality and some topological properties of vector-valued function spaces
Autorzy:
Feledziak, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/746589.pdf
Data publikacji:
2008
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
vector-valued function spaces
locally solid topologies
KB-spaces
Levy topologies
Lebesgue topologies
order dual
order continuous dual
perfectness
Opis:
Let \(E\) be an ideal of \(L^0\) over \(\sigma\)-finite measure space \((\Omega, \Sigma, \mu)\) and let \((X, \| \cdot \|_X)\) be a real Banach space. Let \(E(X)\) be a subspace of the space \(L^0(X)\) of \(\mu\)-equivalence classes of all strongly \(\Sigma\)-measurable functions \(f\colon \Omega \to X\) and consisting of all those \(f\in L^0(X)\), for which the scalar function \(\tilde{f} = \|f (\cdot)\|_X\) belongs to \(E\). Let \(E\) be equipped with a Hausdorff locally convex-solid topology \(\xi\) and let \(\xi\) stand for the topology on \(E(X)\) associated with \(\xi\). We examine the relationship between the properties of the space \((E(X), \xi)\) and the properties of both the spaces \((E, \xi)\) and \((X, \|· \|_X)\). In particular, it is proved that \(E(X)\) (embedded in a natural way) is an order closed ideal of its bidual iff \(E\) is an order closed ideal of its bidual and \(X\) is reflexive. As an application, we obtain that \(E(X)\) is perfect iff \(E\) is perfect and \(X\) is reflexive.
Źródło:
Commentationes Mathematicae; 2008, 48, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cardinalities of lattices of topologies of unars and some related topics
Autorzy:
Kartashova, Anna
Powiązania:
https://bibliotekanauki.pl/articles/728762.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
unar
lattice of topologies
lattice of congruences
Opis:
In this paper we find cardinalities of lattices of topologies of uncountable unars and show that the lattice of topologies of a unar cannor be countably infinite. It is proved that under some finiteness conditions the lattice of topologies of a unar is finite. Furthermore, the relations between the lattice of topologies of an arbitrary unar and its congruence lattice are established.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 129-137
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the comparison of the density type topologies generated by sequences and by functions
Autorzy:
Filipczak, Małgorzata
Filipczak, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/746528.pdf
Data publikacji:
2009
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
density points
density topology
comparison of topologies
Opis:
In the paper we investigate density type topologies generated by functions \(f\) satisfying condition \(\liminf_{x \gt 0^+} \frac{f(x)}{x}\), which are not generated by any sequence.
Źródło:
Commentationes Mathematicae; 2009, 49, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adherence of minimizers for dual convergences
Autorzy:
Dolecki, S.
Powiązania:
https://bibliotekanauki.pl/articles/970255.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stability of minimizers
continuous convergence
dual topologies
Opis:
It is proved that many known convergences (e.g., continuous convergence, Isbell topology, compact-open topology, point-wise convergence) on the space of continuous maps (valued in a topological space) can be represented as the dual convergences with respect to collections of families of sets, and that they can be characterized in terms of the corresponding hyperspace convergences of the inverse images of closed sets. As a result, the convergence of real-valued functions for a dual convergence implies the convergence of their sets of minima on the corresponding hyperspace.
Źródło:
Control and Cybernetics; 2007, 36, 3; 647-658
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bochner representable operators on Köthe-Bochner spaces
Autorzy:
Nowak, Marian
Powiązania:
https://bibliotekanauki.pl/articles/745751.pdf
Data publikacji:
2008
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Köthe-Bochner spaces
Generalized DF-spaces
Bochner representable operators
Weakly compact operators
Compact operators
Mixed topologies
Mackey topologies
Opis:
Let \(E\) be a Banach function space and \(X\) be a real Banach space. We study Bochner representable operators from a Köthe-Bochner space \(E(X)\) to a Banach space \(Y\). We consider the problem of compactness and weak compactness of Bochner representable operators from \(E(X)\) (provided with the natural mixed topology) to \(Y\).
Źródło:
Commentationes Mathematicae; 2008, 48, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniformly \(\mu\)-Continuous Topologies on Orlicz-Bochner Spaces
Autorzy:
Feledziak, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/746216.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Orlicz spaces
Orlicz-Bochner spaces
locally solid topologies
generalized mixed topologies
uniformly \(\varphi\)-summable sets
uniformly \(\varphi\)-integrable sets
Opis:
We examine the topological properties of Orlicz-Bochner spaces \(L^\varphi(X)\) (over a σ-finite measure space \((\Omega, \Sigma, \mu))\), where \(\varphi\) is an Orlicz function (not necessarily convex) and \(X\) is a real Banach space. We continue the study of some class of locally convex topologies on \(L^\varphi (X)\), called uniformly \(\mu\)-continuous topologies. In particular, the generalized mixed topology \(\mathcal{T}_I^\varphi (X)\) on \(L^\varphi (X)\) (in the sense of Turpin) is considered.
Źródło:
Commentationes Mathematicae; 2006, 46, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new approach to detecting and preventing populations stagnation through dynamic changes in multi-population-based algorithms
Autorzy:
Łapa, Krystian
Rutkowska, Danuta
Byrski, Aleksander
Napoli, Christian
Powiązania:
https://bibliotekanauki.pl/articles/23944836.pdf
Data publikacji:
2023
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
multi-population-based algorithms
migration topologies
population stagnation
Opis:
In this paper, a new mechanism for detecting population stagnation based on the analysis of the local improvement of the evaluation function and the infinite impulse response filter is proposed. The purpose of this mechanism is to improve the population stagnation detection capability for various optimization scenarios, and thus to improve multi-population-based algorithms (MPBAs) performance. In addition, various other approaches have been proposed to eliminate stagnation, including approaches aimed at both improving performance and reducing the complexity of the algorithms. The developed methods were tested, among the others, for various migration topologies and various MPBAs, including the MNIA algorithm, which allows the use of many different base algorithms and thus eliminates the need to select the population-based algorithm for a given simulation problem. The simulations were performed for typical benchmark functions and control problems. The obtained results confirm the validity of the developed method.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2023, 13, 4; 289--306
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Topology optimization of trusses using bars exchange method
Autorzy:
Bojczuk, D.
Rębosz-Kurdek, A.
Powiązania:
https://bibliotekanauki.pl/articles/202330.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
trusses
algorithm of optimization
optimal topologies
bars exchange
Opis:
The algorithm of optimization of trusses is presented in the paper, where for topology optimization the bars exchange method is used. In the first case, the problem aimed at cost minimization with a constraint set on global stiffness is formulated. In the second case, the problem of minimizing the cost function subjected to stress and cross-sectional area constraints is discussed and here the multiple-load case is taken into consideration. The conditions for introduction of topology modification and its acceptance are specified. The paper is illustrated with three examples.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2012, 60, 2; 185-189
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The symmetric tensor product of a direct sum of locally convex spaces
Autorzy:
M Ansemil, José
Floret, Klaus
Powiązania:
https://bibliotekanauki.pl/articles/1218462.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
symmetric tensor products
continuous n-homogeneous polynomials
tensor topologies
Opis:
An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology τ such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for $⨂^n_{τ,s} (F_1⨁ F_2)$ gives a direct proof of a recent result of Díaz and Dineen (and generalizes it to other topologies τ) that the n-fold projective symmetric and the n-fold projective "full" tensor product of a locally convex space E are isomorphic if E is isomorphic to its square $E^2$.
Źródło:
Studia Mathematica; 1998, 129, 3; 285-295
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
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