Advances in Metric Fixed Point Theory and Applications

Abstract

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 (Hh) by virtue of a sequence of gap functions. Then we establish the necessary and sufficient conditions for the Painlevé–Kuratowski lower convergence and Painlevé–Kuratowski convergence. © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021.