An extension of the characterization of the domain of attraction of an   asymptotically stable fixed point in the case of a nonlinear discrete   dynamical system
  The purpose of this paper is to show that if the spectral radius of the matrix of the linearized system of a nonlinear discrete dynamical system is less then one then the characterization theorem from \cite{KBBB1,KBGB2} holds. 
E.Kaslik, A.M. Balint, A. Grigis, St. Balint