EXPANDING THE APPLICABILITY OF THE SHADOWING LEMMA FOR OPERATORS WITH CHAOTIC BEHAVIOR USING RESTRICTED CONVERGENCE DOMAINS
Ioannis Konstantinos Argyros, Santhosh George · Nonlinear functional analysis and applications · 2016
We present a weaker version of the celebrated Newton–Kantorovich theorem based on our new restricted convergence domains to find solutions of discrete dynamical systems involving operators with chaotic behavior. Our results extend the application of the shadowing lemma and are given under the same computational cost as in earlier studies.