This paper is devoted to investigating a vector inverse mixed quasi-variational inequality (VIMQVI). Our aim is to obtain error bounds for VIMQVI in terms of different gap functions, i.e., the residual gap function, the regularized gap function, and the D-gap function. These bounds provide effective estimated distances between an arbitrary feasible point and the solution set of VIMQVI. The approach exploited in this paper is based on the generalized f-projection operator due to Wu and Huang. Our results cover and extend similar results for these problems.

中文翻译：

---

向量逆混合拟变分不等式问题的间隙函数和误差界

本文致力于研究向量逆混合拟变分不等式（VIMQVI）。我们的目标是根据不同的间隙函数（即剩余间隙函数，正则间隙函数和D间隙函数）获得VIMQVI的误差范围。这些界限提供了任意可行点和VIMQVI解集之间的有效估计距离。本文采用的方法是基于Wu和Huang的广义f投影算子。我们的结果涵盖并扩展了针对这些问题的类似结果。