中文摘要：

将弱尖解集的概念推广到集值变分不等式的解集中去,并且在假设集值变分不等式的解集是弱尖的情况下,建立了一个充要条件以此来保证对于解集值变分不等式的一种任意的算法的有限终止。

英文摘要：

In this paper, we extend the concept of weakly sharp solution set to the setting of set-valued variational inequality. Under the assumption of weak sharpness, we establish a sufficient and necessary condition to guarantee the finite termination of an arbitrauT algorithm for solving a set-valued variational inequality problem.