  In this paper, we prove that every 2-local derivation on Witt algebras $W_n,
W_n^+$ or $W_n^{++} $ is a derivation for all $n=1,2,\cdots,\infty$. As a
consequence we obtain that every 2-local derivation on any centerless
generalized Virasoro algebra of higher rank is a derivation.

Rings and Algebras