Calmness of the solution mapping of parametric variational relation problems

Abstract

We consider a class of variational relation problems, depending on two parameters from metric spaces. The issue under investigation is the behaviour of the solution in a neighborhood of a fixed pair of parameters, more precisely, the H\"older calmness of the solution mapping. After establishing some sufficient condition for the calmness in a general framework, we particularize the result for a variational inclusion and for an equilibrium problem.