- 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