Temat: modular function space - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Statistical approximation in multivariate modular function spaces
Autorzy:: Belen, Cemal
Yildirim, Mustafa
Powiązania:: https://bibliotekanauki.pl/articles/963515.pdf
Data publikacji:: 2011
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Statistical Convergence
Korovkin Theorem
Modular function space
Positive linear operators
Opis:: In this paper, using the concept of A-statistical convergence we prove a Korovkin type approximation theorem in multivariate modular function spaces. Furthermore, giving an example via bivariate operators of Kantorovich type, it is shown that our theorem is stronger than its classical case.
Źródło:: Commentationes Mathematicae; 2011, 51, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On the Existence of Common Fixed Points for Semigroups of Nonlinear Mappings in Modular Function Spaces
Autorzy:: Kozlowski, Wojciech M.
Powiązania:: https://bibliotekanauki.pl/articles/745208.pdf
Data publikacji:: 2011
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Fixed point
common fixed point
nonexpansive mapping
contractions
semigroup of mappings
modular function space
modular space
Orlicz space
Musielak-Orlicz space
Opis:: Let \(C\) be a \(\rho\)-bounded, \(\rho\)-closed, convex subset of a modular function space \(L_\rho\). We investigate the existence of common fixed points for semigroups of nonlinear mappings \(T_t\colon C\to C\), i.e. a family such that \(T_0(x) = x\), \(T_{s+t} = T_s (T_t (x))\), where each \(T_t\) is either \(\rho\)-contraction or \(\rho\)-nonexpansive. We also briefly discuss existence of such semigroups and touch upon applications to differential equations.
Źródło:: Commentationes Mathematicae; 2011, 51, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On Nonlinear Differential Equations in Generalized Musielak-Orlicz Spaces
Autorzy:: Kozlowski, W.M.
Powiązania:: https://bibliotekanauki.pl/articles/744903.pdf
Data publikacji:: 2013
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: ordinary differential equation, nonlinear equation, Cauchy problem, initial value problem, fixed point, nonexpansive mapping, modular function space, Orlicz space, Musielak-Orlicz space, convex modular
Opis:: We consider ordinary differential equations \(u'(t)+(I-T)u(t)=0\), where an unknown function takes its values in a given modular function space being a generalization of Musielak-Orlicz spaces, and \(T\) is nonlinear mapping which is nonexpansive in the modular sense. We demonstrate that under certain natural assumptions the Cauchy problem related to this equation can be solved. We also show a process for the construction of such a solution. This result is then linked to the recent results of the fixed point theory in modular function spaces.
Źródło:: Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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