On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities

We consider parametric primal and dual Ky Fan inequalities in metric linear spaces. Sufficient conditions for Hölder continuity of solutions are established. Many examples are provided to illustrate the essentialness of the imposed assumptions and advantages of the results over existing ones. As applications, we derive this Hölder continuity of solutions for constrained minimization and variational inequalities. Copyright Sociedad de Estadística e Investigación Operativa 2015