Stability And Estimates In Stochastic Multiobjective Programming Problems

The paper deals with a stability of multiobjective stochastic programming problems in which objective functions are in the form of mathematical expectation of functions depending on a random element and a constraints set is deterministic. The stability is investigated with respect to a probability measures space equipped with a suitable metric. The stability results are, furthermore, applied to obtain new statistical estimates results. A special attention is paid to the problems that can be reduced (from the mathematical point of view) to the problems with one-dimensional random element.