Recent Results on Expansive-Type Evolution and Difference Equations: A Survey
Behzad Djafari Rouhani, Mohsen Rahimi Piranfar · Axioms · 2023
In this survey, we review some old and new results initiated with the study of expansive mappings. From a variational perspective, we study the convergence analysis of expansive and almost-expansive curves and sequences governed by an evolution equation of the monotone or non-monotone type. Finally, we propose two well-defined algorithms to remedy the shortcomings concerning the ill-posedness of expansive-type evolution systems.