Global asymptotic stability of inhomogeneous iterates
Let be a finite-dimensional complete metric space, and a sequence of uniformly convergent operators on . We study the non-autonomous discrete dynamical system and the globally asymptotic stability of the inhomogeneous iterates of . Then we apply the results to investigate the stability of equilibrium of when it satisfies certain type of sublinear conditions with respect to the partial order defined by a closed convex cone. The examples of application to nonlinear difference equations are also given.