Nonlinear mixed right Jordan and left bi-skew Jordan-type derivations on *-algebra

Let 𝔄 {A} be a unital ∗ {} -algebra over the complex field ℂ {C} . In this work, we prove that, under suitable conditions, every nonlinear mixed right Jordan and left bi-skew Jordan n -derivation is an additive ∗ {} -derivation. The applicability of the main result is further illustrated through its extension to various significant special cases of unital ∗ {} -algebras, namely prime ∗ {} -algebras and factor von Neumann algebras.