Convergence Analysis of Solution Sets for
Minty Vector Quasivariational Inequality
Problems in Banach Spaces
Authors: Nguyen Van Hung, Dinh Huy Hoang, Vo Minh Tam, and Yeol Je Cho
Springer
: Chương 18 : 441-460
Publishing year: 6/2021
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.
Minty vector quasivariational inequality · Gap function · Painlevé–Kuratowski convergence · Continuous convergence · Convergence analysis
