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Wyświetlanie 1-15 z 36
Tytuł:
On M-operators of q-lattices
Autorzy:
Halaš, Radomír
Powiązania:
https://bibliotekanauki.pl/articles/729005.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
(complete) q-lattice
closure operator
M-operator
Opis:
It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2002, 22, 2; 119-129
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sublattices corresponding to very true operators in commutative basic algebras
Autorzy:
Chajda, Ivan
Švrček, Filip
Powiązania:
https://bibliotekanauki.pl/articles/729185.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
commutative basic algebra
very true operator
idempotent operator
relatively complete sublattice
Opis:
We introduce the concept of very true operator on a commutative basic algebra in a way analogous to that for fuzzy logics. We are motivated by the fact that commutative basic algebras form an algebraic axiomatization of certain non-associative fuzzy logics. We prove that every such operator is fully determined by a certain relatively complete sublattice provided its idempotency is assumed.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 2; 183-189
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zero-term rank preservers of integer matrices
Autorzy:
Song, Seok-Zun
Jun, Young-Bae
Powiązania:
https://bibliotekanauki.pl/articles/729173.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
linear operator
term-rank
zero-term rank
(P,Q,B)-operator
Opis:
The zero-term rank of a matrix is the minimum number of lines (row or columns) needed to cover all the zero entries of the given matrix. We characterize the linear operators that preserve the zero-term rank of the m × n integer matrices. That is, a linear operator T preserves the zero-term rank if and only if it has the form T(A)=P(A ∘ B)Q, where P, Q are permutation matrices and A ∘ B is the Schur product with B whose entries are all nonzero integers.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2006, 26, 2; 155-161
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Rank and perimeter preserver of rank-1 matrices over max algebra
Autorzy:
Song, Seok-Zun
Kang, Kyung-Tae
Powiązania:
https://bibliotekanauki.pl/articles/728962.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
max algebra
semiring
linear operator
monomial
rank
dominate
perimeter
(U,V)-operator
Opis:
For a rank-1 matrix $A = a ⊗ b^{t}$ over max algebra, we define the perimeter of A as the number of nonzero entries in both a and b. We characterize the linear operators which preserve the rank and perimeter of rank-1 matrices over max algebra. That is, a linear operator T preserves the rank and perimeter of rank-1 matrices if and only if it has the form T(A) = U ⊗ A ⊗ V, or $T(A) = U ⊗ A^{t} ⊗ V$ with some monomial matrices U and V.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 2; 125-137
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniformly bounded Nemytskij operators generated by set-valued functions between generalized Hölder function spaces
Autorzy:
Matkowski, Janusz
Wróbel, Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/729369.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Nemytskij composition operator
uniformly bounded operator
set-valued function
generalized Hölder function metric space
Opis:
We prove that the generator of any uniformly bounded set-valued Nemytskij operator acting between generalized Hölder function metric spaces, with nonempty compact and convex values is an affine function with respect to the function variable.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 2; 183-198
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Abstract inclusions in Banach spaces with boundary conditions of periodic type
Autorzy:
Guedda, Lahcene
Hallouz, Ahmed
Powiązania:
https://bibliotekanauki.pl/articles/729484.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
measure of noncompactness
condensing operator
nonlinear abstract inclusion
accretive operator
integral solution
nonlinear semigroup
Opis:
We study in the space of continuous functions defined on [0,T] with values in a real Banach space E the periodic boundary value problem for abstract inclusions of the form
⎧ $x ∈ S(x(0), sel_{F}(x))$
⎨
⎩ x (T) = x(0),
where, $F:[0,T] × → 2^E \∅$ is a multivalued map with convex compact values, ⊂ E, $sel_{F}$ is the superposition operator generated by F, and S: × L¹([0,T];E) → C([0,T]; ) an abstract operator. As an application, some results are given to the periodic boundary value problem for nonlinear differential inclusions governed by m-accretive operators generating not necessarily a compact semigroups.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 229-253
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Dynamics of the Forest Graph Operator
Autorzy:
Dara, Suresh
Hegde, S.M.
Deva, Venkateshwarlu
Rao, S.B.
Zaslavsky, Thomas
Powiązania:
https://bibliotekanauki.pl/articles/31340605.pdf
Data publikacji:
2016-11-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
forest graph operator
graph dynamics
Opis:
In 1966, Cummins introduced the “tree graph”: the tree graph \( \textbf{T} (G) \) of a graph \( G \) (possibly infinite) has all its spanning trees as vertices, and distinct such trees correspond to adjacent vertices if they differ in just one edge, i.e., two spanning trees \( T_1 \) and \( T_2 \) are adjacent if \( T_2 = T_1 − e + f \) for some edges \( e \in T_1 \) and \( f \notin T_1 \). The tree graph of a connected graph need not be connected. To obviate this difficulty we define the “forest graph”: let \( G \) be a labeled graph of order \( \alpha \), finite or infinite, and let \( \mathfrak{N}(G) \) be the set of all labeled maximal forests of \( G \). The forest graph of \( G \), denoted by \( \textbf{F} (G) \), is the graph with vertex set \( \mathfrak{N}(G) \) in which two maximal forests \( F_1 \), \( F_2 \) of \( G \) form an edge if and only if they differ exactly by one edge, i.e., \( F_2 = F_1 − e + f \) for some edges \( e \in F_1 \) and \( f \notin F_1 \). Using the theory of cardinal numbers, Zorn’s lemma, transfinite induction, the axiom of choice and the well-ordering principle, we determine the F-convergence, F-divergence, F-depth and F-stability of any graph \( G \). In particular it is shown that a graph \( G \) (finite or infinite) is F-convergent if and only if \( G \) has at most one cycle of length 3. The F-stable graphs are precisely \( K_3 \) and \( K_1 \). The F-depth of any graph \( G \) different from \( K_3 \) and \( K_1 \) is finite. We also determine various parameters of \( \mathbf{F} (G) \) for an infinite graph \( G \), including the number, order, size, and degree of its components.
Źródło:
Discussiones Mathematicae Graph Theory; 2016, 36, 4; 899-913
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vector and operator valued measures as controls for infinite dimensional systems: optimal control
Autorzy:
Ahmed, N.
Powiązania:
https://bibliotekanauki.pl/articles/729468.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
evolution equations
Banach spaces
operator valued measures
strong operator topology
existence of solutions
optimal control
Opis:
In this paper we consider a general class of systems determined by operator valued measures which are assumed to be countably additive in the strong operator topology. This replaces our previous assumption of countable additivity in the uniform operator topology by the weaker assumption. Under the relaxed assumption plus an additional assumption requiring the existence of a dominating measure, we prove some results on existence of solutions and their regularity properties both for linear and semilinear systems. Also presented are results on continuous dependence of solutions on operator and vector valued measures, and other parameters determining the system which are then used to prove some results on control theory including existence and necessary conditions of optimality. Here the operator valued measures are treated as structural controls. The paper is concluded with some examples from classical and quantum mechanics and a remark on future direction.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2008, 28, 1; 95-131
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extremal solutions for nonlinear neumann problems
Autorzy:
Fiacca, Antonella
Servadei, Raffaella
Powiązania:
https://bibliotekanauki.pl/articles/729330.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
upper solution
lower solution
order interval
truncation function
penalty function
pseudomonotone operator
coercive operator
extremal solution
Opis:
In this paper, we study a nonlinear Neumann problem. Assuming the existence of an upper and a lower solution, we prove the existence of a least and a greatest solution between them. Our approach uses the theory of operators of monotone type together with truncation and penalization techniques.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 2; 191-206
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on periodicity of the 2-distance operator
Autorzy:
Zelinka, Bohdan
Powiązania:
https://bibliotekanauki.pl/articles/743805.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
2-distance operator
complement of a graph
Opis:
The paper solves one problem by E. Prisner concerning the 2-distance operator T₂. This is an operator on the class $C_f$ of all finite undirected graphs. If G is a graph from $C_f$, then T₂(G) is the graph with the same vertex set as G in which two vertices are adjacent if and only if their distance in G is 2. E. Prisner asks whether the periodicity ≥ 3 is possible for T₂. In this paper an affirmative answer is given. A result concerning the periodicity 2 is added.
Źródło:
Discussiones Mathematicae Graph Theory; 2000, 20, 2; 267-269
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Maximal column rank preservers of fuzzy matrices
Autorzy:
Song, Seok-Zun
Park, Soo-Roh
Powiązania:
https://bibliotekanauki.pl/articles/728725.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
linear operator on matrices
fuzzy matrix
maximal column rank of a matrix
congruence operator on matrices
chain semiring
Opis:
This paper concerns two notions of rank of fuzzy matrices: maximal column rank and column rank. We investigate the difference of them. We also characterize the linear operators which preserve the maximal column rank of fuzzy matrices. That is, a linear operator T preserves maximal column rank if and only if it has the form T(X) = UXV with some invertible fuzzy matrices U and V.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 207-218
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Filters of lattices with respect to a congruence
Autorzy:
Sambasiva Rao, M.
El-Mohsen Badawy, Abd
Powiązania:
https://bibliotekanauki.pl/articles/729197.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
congruence
filter
closure operator
θ-filter
congruence lattice
Opis:
Some properties of filters on a lattice L are studied with respect to a congruence on L. The notion of a θ-filter of L is introduced and these filters are then characterized in terms of classes of θ. For distributive L, an isomorphism between the lattice of θ-filters of L and the lattice of filters of $L_{/θ}$ is obtained.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 2; 213-219
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic behaviour in the set of nonhomogeneous chains of stochastic operators
Autorzy:
Pułka, Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/729906.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Markov operator
asymptotic stability
residuality
dense $G_{δ}$
Opis:
We study different types of asymptotic behaviour in the set of (infinite dimensional) nonhomogeneous chains of stochastic operators acting on L¹(μ) spaces. In order to examine its structure we consider different norm and strong operator topologies. To describe the nature of the set of nonhomogeneous chains of Markov operators with a particular limit behaviour we use the category theorem of Baire. We show that the geometric structure of the set of those stochastic operators which have asymptotically stationary density differs depending on the considered topologies.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2012, 32, 1-2; 17-33
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the simplex graph operator
Autorzy:
Zelinka, Bohdan
Powiązania:
https://bibliotekanauki.pl/articles/744217.pdf
Data publikacji:
1998
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
simplex of a graph
simplex operator
limit cardinal number
Opis:
A simplex of a graph G is a subgraph of G which is a complete graph. The simplex graph Simp(G) of G is the graph whose vertex set is the set of all simplices of G and in which two vertices are adjacent if and only if they have a non-empty intersection. The simplex graph operator is the operator which to every graph G assigns its simplex graph Simp(G). The paper studies graphs which are fixed in this operator and gives a partial answer to a problem suggested by E. Prisner.
Źródło:
Discussiones Mathematicae Graph Theory; 1998, 18, 2; 165-169
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multi-valued operators and fixed point theorems in Banach algebras
Autorzy:
Dhage, Bapur
Powiązania:
https://bibliotekanauki.pl/articles/729606.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
multi-valued operator
fixed point theorem and integral inclusion
Opis:
In this paper, two multi-valued versions of the well-known hybrid fixed point theorem of Dhage [6] in Banach algebras are proved. As an application, an existence theorem for a certain differential inclusion in Banach algebras is also proved under the mixed Lipschitz and compactness type conditions.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2004, 24, 1; 97-122
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 36

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