On Gap Functions for Multivalued Stampacchia Variational Inequalities

Gap functions have proved to be efficient tools to study single‐valued variational inequalities. This approach allows us to reformulate the problem into an optimization problem. New notions of gap functions are defined for set‐valued variational inequalities. We prove finiteness and error bounds properties, i.e. upper estimates for the distance to the solution set of the variational inequality.