Identities involving multiplicative generalized g-derivation on prime rings

In this paper, we establish the definition of multiplicative generalized [Formula: see text]-derivation on a ring [Formula: see text]. Our focus is to express the structure of prime ring [Formula: see text] in which multiplicative generalized [Formula: see text]-derivations satisfy certain algebraic identities with automorphism. In this paper, we have generalized several well-known results with regard to generalized derivations, generalized skew derivations and generalized [Formula: see text]-derivations in prime rings to the case of multiplicative generalized [Formula: see text]-derivations.