Convergence Analysis of Solution Sets for Minty Vector Quasivariational Inequality Problems in Banach Spaces

In this paper, we consider convergence analysis of the solution sets for vector quasi-variational inequality problems of the Minty type. Based on the nonlinear scalarization function, we obtain a key assumption \({(H_h)}\) by virtue of a sequence of gap functions. Then we establish the necessary and sufficient conditions for the Painleve–Kuratowski lower convergence and Painleve–Kuratowski convergence.