Convergence theorem of Pettis integrable multivalued pramart

Purpose In this work, the authors are interested in notion of vector valued and set Pettis integrable pramarts. The pramart is more general than that martingale. Every martingale a pramart, but converse not generally true. Design/methodology/approach present several properties convergence theorems for pramarts with convex weakly compact values separable Banach space. Findings existence conditional expectation mutifunctions indexed by bounded stopping times provided. prove almost sure Mosco linear topologies (cwk(E)) family subsets Originality/value purpose paper to new various results