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

[摘要] 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.

[学科分类] 电力

[关键词] Mixed set-valued vector inverse quasi-variational inequality;Residual gap function;Regularized gap function;D-gap function;Error bounds;\(\mathfrak{H}\) - ϑ -Lipschitz continuous mapping;\(\mathcal{L}_{i}\) -Lipschitz continuous mapping;Generalized f -projection operator