Abstract: In this paper the stabilities of the efficient points and the weak efficient points were discussed under cone order perturbations with fixed feasible set, in the sense of Painleve-Kuratowski convergence of set sequence. The stabilities of the same kind of multiobjective programming problems were also given, and the stability results under the linear operators were obtained.

Key words: efficient solutions set, weakly efficient solutions set, P-K convergence, cone order perturbations, efficient solutions set, weakly efficient solutions set, P-K convergence