2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97281We provide a new global small-gain theorem for feedback interconnections of monotone input-output systems with multi-valued input-state characteristics. This extends a recent small-gain theorem of Angeli and Sontag for monotone systems with singleton-valued characteristics. We prove our theorem using Thieme's convergence theory for asymptotically autonomous systems. An illustrative example is also provided.17 pages, 2 figures, to appear in IEEE Transactions on Automatic ControlOptimization and Control93D20text