Lipschitz continuity of objective functions in stochastic programs with fixed recourse and its applications

This paper deals with Lipschitz continuity of the objective functions of two-stage stochastic program with fixed recourse w.r.t. the first stage variable x and the random vector ξ jointly. This is then used to study stability of the considered problem. Some results, expecially the Lipschitz continuity of the infimal functional in ξ, are stronger than early ones.