A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers

We consider a new family of convex weakly compact valued integrable random sets which is called an adapted array   of convex weakly compact valued integrable random variables of type pp (1⩽p⩽21⩽p⩽2). By this concept, more general laws of large numbers will be established. Some illustrative examples are provided.