Nonlinear Mixed Left Bi-Skew Jordan and Right Jordan-Type Derivations on -Algebra*

Consider a unital *-algebra A defined over the complex field C. In this work, we establish that a mapping, referred to as a nonlinear mixed left bi-skew Jordan and right Jordan n-derivation, reduces to an additive *-derivation under certain conditions. As applications, we further investigate special classes of unital *-algebras, namely, prime *-algebras and factor von Neumann algebras using our main result.