Global dynamical systems involving generalized \(f\)-projection operators and set-valued perturbation in Banach spaces
Summary: A new class of generalized dynamical systems involving generalized \(f\)-projection operators is introduced and studied in Banach spaces. By using the fixed-point theorem due to \textit{S. B. Nadler jun.} [Pac. J. Math. 30, 475--488 (1969; Zbl 0187.45002)], the equilibrium points set of this class of generalized global dynamical systems is proved to be nonempty and closed under some suitable conditions. Moreover, the solution set of systems with set-valued perturbations is shown to be continuous with respect to the initial value.
scientific article; zbMATH DE number 6106282
scientific article