Sharp H\"{o}lder continuous behaviour of solutions to vector network equilibrium problems with a polyhedral ordering cone

Abstract

In this paper, we establish some new results for H\"{o}lder continuity of solutions to vector variational inequalities which model vector network equilibrium problems with a polyhedral ordering cone under parametric perturbations. Especially, our approach of studying H\"{o}lder continuous behaviour is employed by the properties of the regularized gap function based on the ordering cone generated by a matrix.