Temat: semigroup of contractions - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Semigroup of Contractions of Wreath Products of Metric Spaces
Autorzy:: Oliynyk, Bogdana
Powiązania:: https://bibliotekanauki.pl/articles/729049.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: metric space
wreath product
semigroup of contractions
Opis:: In this paper semigroups of contractions of metric spaces are considered. The semigroup of contractions of the wreath product of metric spaces is calculated.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2010, 30, 1; 35-43
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On a vector-valued local ergodic theorem in $L_∞$
Autorzy:: Sato, Ryotaro
Powiązania:: https://bibliotekanauki.pl/articles/1217311.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: vector-valued local ergodic theorem
reflexive Banach space
d-dimensional semigroup of linear contractions
contraction majorant
Opis:: Let $T = {T(u): u ∈ ℝ_d^{+}}$ be a strongly continuous d-dimensional semigroup of linear contractions on $L_1((Ω,Σ,μ);X)$, where (Ω,Σ,μ) is a σ-finite measure space and X is a reflexive Banach space. Since $L_1((Ω,Σ,μ);X)* = L_∞((Ω,Σ,μ);X*)$, the adjoint semigroup $T* = {T*(u): u ∈ ℝ_d^{+}}$ becomes a weak*-continuous semigroup of linear contractions acting on $L_∞((Ω,Σ,μ);X*)$. In this paper the local ergodic theorem is studied for the adjoint semigroup T*. Assuming that each T(u), $u ∈ ℝ_d^{+}$, has a contraction majorant P(u) defined on $L_1((Ω,Σ,μ);ℝ)$, that is, P(u) is a positive linear contraction on $L_1((Ω,Σ,μ);ℝ)$ such that $‖T(u)f(ω)‖ ≤ P(u)‖f(·)‖(ω)$ almost everywhere on Ω for every $⨍ ∈ L_1((Ω,Σ,μ);X)$, we prove that the local ergodic theorem holds for T*.
Źródło:: Studia Mathematica; 1999, 132, 3; 285-298
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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

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