中文摘要：

在一些强制条件下,研究了一个扰动变分不等式的可解性,获得了两个主要结论：在强制条件（B）下证明了扰动变分不等式的解集是非空有界的;在强制条件（F）下证明了扰动变分不等式的解集包含于一个闭球中.第一个结论改进了已有的结论,第二个结论是新的.

英文摘要：

The solvability of a perturbed variational inequality is investigated under certain coercivity conditions in this paper. Two main results are obtained. The coercivity condition （B） assumed in the first result implies the solution set of the variational inequality is nonempty and bounded, and the coercivity condition （F） in the second one shows the solution set of the variational inequality is contained in a closed ball. The first result extends some known results, while the second one is new.