Stability of discrete approximations for optimal control of one-sided Lipschitzian Differential Inclusions

where H is a Hilbert space, and where F : T ×H → H is a set-valued mapping with nonempty compact values (some results hold also with no compactness assumption). It is well known that the differential inclusion description under consideration is important for its own sake and covers many other conventional and nonconventional models involving dynamical systems in finite and infinite dimensions. In particular, differential inclusions extend control systems