Gap functions and error bounds for vector inverse mixed quasi-variational inequality problems

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.