By changing the perturbution to strongly monotone VIP, basing on the equivalent D-gap function, a derivative-free algorithm is given, and each accumulation point obtained by this algorithm is a solution to the original VIP under suitable conditions.

• 利用广义的D-间隙函数提出一种无需计算函数梯度的算法，进一步证明此算法产生的每一聚点都是原变分不等式的解。