Let R be a ring. Two mappings  and  are said to be generalized skew-commuting on R if  for all x in R. The main purpose of this paper is to prove the following result, which generalizes the conjecture of Nadeem et al.: Let R be a 2‑torsion free prime ring with  a non-zero isomorphism or anti-isomorphism of R. If f and g are generalized skew-commuting on R, then  for all x in R.

skew-commuting map, additive map, semiprime ring, prime ring.