Error bounds for mixed set-valued vector inverse quasi-variational inequalities

Abstract

Abstract The purpose of this paper is to introduce and study the mixed set-valued vector inverse quasi-variational inequality problems (MSVIQVIPs) and to obtain error bounds for this kind of MSVIQVIP in terms of 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 mixed set-valued vector inverse quasi-variational inequality problem. The results presented in the paper improve and generalize some recent results.

Keywords

• Mixed set-valued vector inverse quasi-variational inequality
• Residual gap function
• Regularized gap function
• D-gap function
• Error bounds
• H $\mathfrak{H}$ -ϑ-Lipschitz continuous mapping