This　paper　is　devoted　to　the　continuity　of　the　solution　mapping　for　vector　quasiequilibrium　problems　under　mapping　perturbations.　We　show　that　the　solution　mapping　is　upper　semicontinuous　and　Hausdorff　upper　semicontinuous.　Sufficient　conditions　for　the　lower　semicontinuity　and　Hausdorff　lower　semicontinuity　of　the　solution　mapping　are　established.　Finally,　we　apply　our　results　to　traffic　network　problems　as　example.