Duality by the Minimax theorem

16 Maio 2019, 14:30 • José Francisco da Silva Costa Rodrigues

General relation of saddle points with the equity relation of MaxInf with Min Sup of Lagrangians. Characterisation of saddle points for partially Gâteaux-differential Lagrangians under convexity assumptions and relation with variational inequalities. Sufficient conditions of saddle points in reflexive Banach spaces. Applications of saddle points method to duality. The case of equilibrium of an elastic body on a rigid base—comparison of the approach in Ekeland-Téman (pp. 218-221) Nad in Duvaut-Lions (pp. 121-123).