On the convergence of random mappings (Q1593687)

The purpose of this paper is to study the convergence of random mappings from \(x\) to \(y\). At first the author defines two types of convergence (the convergence in probability and the convergence in law) and discusses the relation between them. The next section deals with the convergence of random operators. The main result of this section is a theorem which claims that the limit in law of a sequence of random operators is again a random operator. At the end of the paper the convergence of random operators generated by a random integral is investigated.