Stability for parametric implicit vector equilibrium problems

In this paper, we consider a class of parametric implicit vector equilibrium problems in Hausdorff topological vector spaces where a mapping f and a set K are perturbed by parameters ϵ and λ , respectively. We establish sufficient conditions for the upper semicontinuity and lower semicontinuity of the solution set mapping S : Λ 1 × Λ 2 → 2 X for such parametric implicit vector equilibrium problems.