By applying the Brouwer fixed point theorem, we prove an existence result of solutions for strongly pseudomonotone quasi-variational inequalities which extends an analogous result in Kocvara and Outrata (Optim Methods Softw 5:275–295, 1995). The result is based on a new result concerning continuity property of solutions to a parametric variational inequality. Examples are given to illustrate our results.

中文翻译：

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强伪单调拟变分不等式的存在结果

通过应用Brouwer不动点定理，我们证明了强伪单调拟变分不等式解的存在性结果，从而扩大了Kocvara和Outrata中的类似结果（Optim Methods Softw 5：275–295，1995）。该结果基于有关参数变分不等式解的连续性的新结果。举例说明了我们的结果。