Abstract: Let X be a normed linear space, D be a nonemp ty convex subset of X. Let Ti :D →D ( i = 1, 2?m ) be asymp totically identicaiφ2p seudo contractive type mapp ings with common fixed points. It is shown that under some suitable conditions, the sequence { xn } defined as follows; xn + 1 = (1 -α1, n ) xn +α1, n Tn 1 y1, n ; y1, n = (1 -α2, n ) xn +α2, n Tn 2 y2, n ; ?; ym - 1, n = (1 -αm, n ) xn +αm, n Tn m xn , P n≥0. Then it converges strongly to the fixed point of Ti ( i = 1, 2?m ) .