Topological pressure of a factor map for nonautonomous dynamical systems

Let be a compact metric space and be a sequence of continuous maps from X to itself. Denote by the sequence and by the induced nonautonomous dynamical system. In this paper, we give the definitions of upper capacity topological pressure and Pesin-Pitskel topological pressure on a noncompact subset for nonautonomous dynamical systems from the dimension theory. Moreover, we propose the equivalent definition of Pesin-Pitskel topological pressure and investigate some properties of topological pressure. In contrast to Bowen's inequality, we discuss a relation for two topological pressures and establish an inequality formula for two topological pressures with a factor map of nonautonomous dynamical systems.