Limit vector variational inequalities and market equilibrium problems

Abstract

© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. In a finite-dimensional setting we investigate the solvability of a general vector variational inequality via the convergence of solutions of suitable approximating vector variational inequalities defined with more regular data. The theoretical results obtained in a very general framework are successfully applied to the study of a vector market equilibrium problem where instead of exact values of the cost mapping, feasible set and order cone, only approximation sequences of these data are available.