We　consider　the　Cauchy　problem　for　the　nonlinear　Schrodinger　equation　i　partial　derivative(t)u　+　Delta　u　=　lambda(0)u　+　lambda(1)vertical　bar　u　vertical　bar(alpha)　u　in　R-N,　where　lambda(0),　lambda(1)　is　an　element　of　C,　in　H-S　subcritical　and　critical　case:　0　＜　alpha　＜=　4/N-2s　when　1　=　N/2.　We　show　that　the　solution　depends　continuously　on　the　initial　value　in　the　standard　sense　in　H-s(R-N)　if　alpha　satisfies　certain　assumptions.　(c)　2013　Elsevier　Inc.　All　rights　reserved.