A new class of strong mixed vector GQVIP-generalized quasi-variational inequality problems in fuzzy environment with regularized gap functions based error bounds

Abstract In this paper, we introduce and study a new class of strong mixed vector generalized quasi-variational inequality problems (GQVIP) in fuzzy environment. Then, using the method of the nonlinear scalarization function, the regularized gap functions for GQVIP is established. In addition, error bounds are provided for GQVIP via those regularized gap functions under suitable assumptions. The main results obtained in this paper are new and extend some corresponding known results. Some examples are given for the illustration of our results.