Wang, LishengLishengWangHeng, Pheng-AnnPheng-AnnHengProf. LEUNG Kwong SakXu, ZongbenZongbenXu2023-03-292023-03-292001Journal of Mathematical Analysis and Applications, 2001, vol. 258 (1), pp. 349 - 3580022247Xhttp://hdl.handle.net/20.500.11861/7658For the nonlinear discrete dynamical system xk+1=Txk on bounded, closed and convex set D⊂Rn, we present several sufficient and necessary conditions under which the unique equilibrium point is globally exponentially asymptotically stable. The infimum of exponential bounds of convergent trajectories is also derived. © 2001 Academic Press. Author keywords Discrete dynamical systems; difference equations; global exponential asymptotic stability; exponential bound; topologically equivalent metric; contraction mapenDiscrete Dynamical SystemsDifference EquationsGlobal Exponential Asymptotic StabilityExponential BoundTopologically Equivalent MetricContraction MapPeer Reviewed Journal Article10.1006/jmaa.2001.7510