Nonlinear mixed *-Jordan n-derivations on *-algebras

Let R be a *-algebra with unity I and a nontrivial projection P-1. In this paper, it is shown that if a map Psi:R -> R satisfies Psi(S-1 degrees S-2 degrees center dot center dot center dot degrees Sn-1 center dot S-n) =Sigma S-n(k=1) (1) degrees S-2 degrees & ctdot; degrees Sk-1 degrees Psi(S-k) degrees Sk+1 degrees center dot center dot center dot degrees Sn-1 center dot S-n for all Sn-2, Sn-1, S-n is an element of R and S-i = I for all i is an element of{1, 2,...,n - 3}, where n >= 3, then Psi is an additive *-derivation. Moreover, we shall call such a map Psi, a nonlinear mixed *-Jordan n-derivation. As applications, we will characterize nonlinear mixed *-Jordan n-derivation in standard operator algebras and von Neumann algebras.