On the Existence of Common Fixed Points for Semigroups of Nonlinear Mappings in Modular Function Spaces

• Autorzy: Wojciech M. Kozlowski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fixed point; common fixed point; nonexpansive mapping; contractions; semigroup of mappings; modular function space; modular space; Orlicz space; Musielak-Orlicz space

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2011
• Tom: 51
• Numer: 1

Daty

wydano

2011

online

2017-12-19

Twórcy

autor

Wojciech M. Kozlowski

Identyfikatory

DOI

10.14708/cm.v51i1.5311