On the existence and approximation of solutions for bilevel vector variational inequalities in Banach spaces
Journal of Nonlinear and Variational Analysis · 2020
In this paper, a bilevel vector variational inequality problem is investigated in the setting of Banach spaces.We propose a method which consists in reducing the study of the bilevel vector variational inequality problem to that of a one level vector problem.By introducing a vector auxiliary principle, we propose an algorithm to approximate the solution of the considered bilevel vector variational inequality problem.The strong convergence of the proposed iterative method is studied.