Dérivée Discrète et Comportement Local d'Une Itération Discrbte

Abstract By the use of a discrete derivative, we characterize the local convergence of a discrete iteration towards a fixed point or a cycle. This work is an attempt to transpose some classical results in applied analysis (behavior of iterations) into the case of discrete iterations. One sees what can and what cannot be transposed from the context of normed linear spaces to a discrete context.