On Levitin–Polyak α-well-posedness of perturbed variational-hemivariational inequality

Abstract

In this paper, we consider an extension of well-posedness for a minimization problem to a class of perturbed variational-hemivariational inequalities with perturbations VHVI. We establish some metric characterizations for the Levitin–Polyak (LP) -well-posedness of VHVI and give some conditions under which the above problem is LP -well-posed in the generalized sense. Links are established between the LP well-posedness of VHVI and the corresponding inclusion problem.