Normal Families of Meromorphic Functions Concerning Shared Fixed-points

In this paper, we consider normality criteria for a family of mero-morphic function concerning shared fixed-points. Let F be a family of meromorphic functions defined in a domain D. Let k, n k + 1 be positive integers. If for every f ∈ F such that f = 0, (fn)(k) and (gn)(k) share z in D for every pair of functions f, g ∈ F, then F is normal in D. This improve and generalize the related results of W.Schwick, Y.T.Li and Y.X.Gu