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Wyświetlanie 1-15 z 44
Tytuł:
Existence and attractivity for fractional order integral equations in Fréchet spaces
Autorzy:
Abbas, Saïd
Benchohra, Mouffak
Powiązania:
https://bibliotekanauki.pl/articles/729302.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
functional integral equation
left-sided mixed Riemann-Liouville integral of fractional order
solution
attractivity
Fréchet space
fixed point
Opis:
In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Riemann-Liouville fractional order, by using an extension of the Burton-Kirk fixed point theorem in the case of a Fréchet space.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 1; 47-63
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed point theory for multivalued maps in Fréchet spaces via degree and index theory
Autorzy:
Agarwal, R.
O'Regan, D.
Sahu, D.
Powiązania:
https://bibliotekanauki.pl/articles/729475.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
multivalued maps
Fréchet space
degree and index theory
projective limit
Opis:
New fixed point results are presented for multivalued maps defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo open set, degree and index theory, and on viewing E as the projective limit of a sequence of Banach spaces.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 399-409
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed point theory for multimaps defined on closed subsets of Fréchet spaces: the projective limit approach
Autorzy:
Agarwal, Ravi P.
O’Regan, Donal
Powiązania:
https://bibliotekanauki.pl/articles/960160.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Fixed point theory
projective limits
Fréchet space
projective limit
Opis:
New fixed point results are presented for maps defined on closed subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and viewing E as the projective limit of a sequence of Banach spaces.
Źródło:
Commentationes Mathematicae; 2006, 46, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local convergence of inexact Newton methods under affine invariant conditions and hypotheses on the second Fréchet derivative
Autorzy:
Argyros, Ioannis
Powiązania:
https://bibliotekanauki.pl/articles/1338691.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
superlinear
Fréchet derivative
weak convergence
inexact Newton method
strong
forcing sequence
Banach space
Opis:
We use inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach space. Solving a nonlinear equation using Newton iterates at each stage is very expensive in general. That is why we consider inexact Newton methods, where the Newton equations are solved only approximately, and in some unspecified manner. In earlier works [2], [3], natural assumptions under which the forcing sequences are uniformly less than one were given based on the second Fréchet derivative of the operator involved. This approach showed that the upper error bounds on the distances involved are smaller compared with the corresponding ones using hypotheses on the first Fréchet derivative. However, the conditions on the forcing sequences were not given in affine invariant form. The advantages of using conditions given in affine invariant form were explained in [3], [10]. Here we reproduce all the results obtained in [3] but using affine invariant conditions.
Źródło:
Applicationes Mathematicae; 1999, 26, 4; 457-465
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The effect of rounding errors on a certain class of iterative methods
Autorzy:
Argyros, Ioannis
Powiązania:
https://bibliotekanauki.pl/articles/1208172.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fréchet derivative
Lipschitz conditions
Newton-like method
inexact Newton-like method
Banach space
Opis:
In this study we are concerned with the problem of approximating a solution of a nonlinear equation in Banach space using Newton-like methods. Due to rounding errors the sequence of iterates generated on a computer differs from the sequence produced in theory. Using Lipschitz-type hypotheses on the mth Fréchet derivative (m ≥ 2 an integer) instead of the first one, we provide sufficient convergence conditions for the inexact Newton-like method that is actually generated on the computer. Moreover, we show that the ratio of convergence improves under our conditions. Furthermore, we provide a wider choice of initial guesses than before. Finally, a numerical example is provided to show that our results compare favorably with earlier ones.
Źródło:
Applicationes Mathematicae; 2000, 27, 3; 369-375
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Information Geometry of Frechet Distributions
Autorzy:
Arwini, Khadiga Ali
Powiązania:
https://bibliotekanauki.pl/articles/1030590.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Frechet distribution
extreme value distributions
information geometry
statistical manifold
Opis:
Using the Fisher information matrix (FIM) as a Riemannian metric, the family of Frechet distributions determines a two dimensional Riemannian manifold. In this paper we illustrates the information geometry of the Frechet space, and derive the α-geometry as; α-connections, α-curvature tensor, α-Ricci curvature with its eigenvalues and eigenvectors, α-sectional curvature, α-mean curvature, and α-scalar curvature, where we show that Frechet space has a constant α-scalar curvature. The special case where α = 0 corresponds to the geometry induced by the Levi-Civita connection. In addition, we consider three special cases of Frechet distributions as submanifolds with dimension one, and discuss their geometrical structures, then we prove that one of these submanifolds is an isometric isomorph of the exponential manifold, which is important in stochastic process since exponential distributions represent intervals between events for Poisson processes. After that, we introduce log-Frechet distributions, and show that this family of distributions determines a Riemannian 2-manifold which is isometric with the origin manifold. Finally, an explicit expressions for some distances in Frechet space are obtained as, Kullback-Leibler distance, and J-divergence.
Źródło:
World Scientific News; 2020, 144; 296-312
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Characterisation of some generalised continuous distributions by doubly truncated moments
Autorzy:
Athar, Haseeb
Ahsanullah, Mohammad
Ali, Mohd. Almech
Powiązania:
https://bibliotekanauki.pl/articles/2204096.pdf
Data publikacji:
2023
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
truncated moment
characterisation
probability distribution
Weibull
power function
Frechet
Pareto
Lindley
Opis:
The characterisation of probability distribution plays an important role in statistical studies. There are various methods of characterisation available in the literature. The characterisation using truncated moments limits the observations; hence, researchers may save time and cost. In this paper, the characterisation of three general forms of continuous distributions based on doubly truncated moments has been studied. The results are given simply and explicitly. Further, the results have been applied to some well-known continuous distributions.
Źródło:
Operations Research and Decisions; 2023, 33, 1; 1--19
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An existence theorem for an hyperbolic differential inclusion in Banach spaces
Autorzy:
Benchohra, Mouffak
Ntouyas, Sotiris
Powiązania:
https://bibliotekanauki.pl/articles/729306.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
hyperbolic differential inclusion
convex multivalued map
existence
condensing map
fixed point
Fréchet space
Opis:
In this paper, we investigate the existence of solutions on unbounded domain to a hyperbolic differential inclusion in Banach spaces. We shall rely on a fixed point theorem due to Ma which is an extension to multivalued between locally convex topological spaces of Schaefer's theorem.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 1; 5-16
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay
Autorzy:
Benchohra, Mouffak
Bennihi, Omar
Ezzinbi, Khalil
Powiązania:
https://bibliotekanauki.pl/articles/746657.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
semilinear functional differential equation, mild solution, resolvent family, fixed point, state-dependent delay, contractive map, Frechet space
Opis:
In this paper we provide sufficient conditions for the existence and uniqueness of mild solutions for a class of semilinear functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Frigon-Granas type for contractions maps in Frechet spaces combined with \(\alpha\)-resolvent family is the main tool in our analysis.
Źródło:
Commentationes Mathematicae; 2013, 53, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On non-primary Fréchet Schwartz spaces
Autorzy:
C. Díaz, J.
Powiązania:
https://bibliotekanauki.pl/articles/1218870.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fréchet spaces
primary spaces
Schwartz spaces
unconditional decompositions
spaces of Moscatelli type
holomorphic functions of bounded type
Opis:
Let E be a Fréchet Schwartz space with a continuous norm and with a finite-dimensional decomposition, and let F be any infinite-dimensional subspace of E. It is proved that E can be written as G ⨁ H where G and H do not contain any subspace isomorphic to F. In particular, E is not primary. If the subspace F is not normable then the statement holds for other quasinormable Fréchet spaces, e.g., if E is a quasinormable and locally normable Köthe sequence space, or if E is a space of holomorphic functions of bounded type $ℋ_b(U)$, where U is a Banach space or a bounded absolutely convex open set in a Banach space.
Źródło:
Studia Mathematica; 1997, 126, 3; 291-307
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An example of a Fréchet algebra which is a principal ideal domain
Autorzy:
Carboni, Graciela
Larotonda, Angel
Powiązania:
https://bibliotekanauki.pl/articles/1206135.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fréchet algebra
principal ideal domain
quasi-analytic class
Opis:
We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.
Źródło:
Studia Mathematica; 2000, 138, 3; 265-275
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Factorization of Montel operators
Autorzy:
Dierolf, S.
Domański, P.
Powiązania:
https://bibliotekanauki.pl/articles/1292530.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fréchet space
Fréchet-Montel space
complete LB-space
Montel LB-space
regular LB-space
Mackey completion of an LB-space
bornologicity of C(K,E)
Opis:
Consider the following conditions. (a) Every regular LB-space is complete; (b) if an operator T between complete LB-spaces maps bounded sets into relatively compact sets, then T factorizes through a Montel LB-space; (c) for every complete LB-space E the space C (βℕ, E) is bornological. We show that (a) ⇒ (b) ⇒ (c). Moreover, we show that if E is Montel, then (c) holds. An example of an LB-space E with a strictly increasing transfinite sequence of its Mackey derivatives is given.
Źródło:
Studia Mathematica; 1993, 107, 1; 15-32
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity
Autorzy:
Domański, P.
Drewnowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/1293180.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fréchet spaces of (weakly, weak*) continuous vector-valued functions injective Fréchet spaces
spaces complemented in dual Fréchet spaces
complemented copies of $c_0$
Josefson-Nissenzweig theorem
Opis:
Fréchet spaces of strongly, weakly and weak*-continuous Fréchet space valued functions are considered. Complete solutions are given to the problems of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces.
Źródło:
Studia Mathematica; 1992, 102, 3; 257-267
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Standard exact projective resolutions relative to a countable class of Fréchet spaces
Autorzy:
Domański, P.
Krone, J.
Vogt, D.
Powiązania:
https://bibliotekanauki.pl/articles/1220055.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fréchet spaces
Köthe sequence spaces
splitting of short exact sequences
nuclear spaces
Schwartz spaces
quasinormable spaces
functor $Ext^1$
projective spaces
projective resolution
Opis:
We will show that for each sequence of quasinormable Fréchet spaces $(E_n)_ℕ$ there is a Köthe space λ such that $Ext^1(λ(A), λ(A) = Ext^1 (λ(A), E_n)=0$ and there are exact sequences of the form $... → λ(A) → λ(A) → λ(A) → λ(A) → {E_n} → 0$. If, for a fixed ℕ, $E_n$ is nuclear or a Köthe sequence space, the resolution above may be reduced to a short exact sequence of the form $0 → λ(A) → λ(A) → {E_n} → 0$. The result has some applications in the theory of the functor $Ext^1$ in various categories of Fréchet spaces by providing a substitute for non-existing projective resolutions.
Źródło:
Studia Mathematica; 1997, 123, 3; 275-290
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The space of real-analytic functions has no basis
Autorzy:
Domański, Paweł
Vogt, Dietmar
Powiązania:
https://bibliotekanauki.pl/articles/1206000.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
LB-space
Fréchet space
Schauder basis
Köthe sequence space
complemented subspace
space of real-analytic functions
Opis:
Let Ω be an open connected subset of $ℝ^d$. We show that the space A(Ω) of real-analytic functions on Ω has no (Schauder) basis. One of the crucial steps is to show that all metrizable complemented subspaces of A(Ω) are finite-dimensional.
Źródło:
Studia Mathematica; 2000, 142, 2; 187-200
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 44

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