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

New results of decomposition for bounded sequences in L 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. [ABSTRACT FROM AUTHOR]