Asymptotic stability of equilibria for difference equations via fixed points of enriched Presic operators

We introduced a new general class of Presic-type operators, by enriching the known class of Presic contractions. We established conditions under which enriched Presic operators possess a unique fixed point, proving the convergence of two different iterative methods to the fixed point. We also gave a data dependence result that was finally applied in proving the global asymptotic stability of the equilibrium of a certain k-th order difference equation.