Méthode de compacité et de décomposition applications: Minimisation,convergence des martingales,lemma de Fatou multivoque

Summary New results of decomposition for bounded sequences in L _E ¹ and in the space of integrably bounded multifunctions with non empty convex weakly compact values in a Banach space E and its applications to problems of Minimization, convergence of martingales, Multivalued Fatou lemma are presented.