Well-posedness of hemivariational inequalities and inclusion problems

摘要

In the present paper, we generalize the concept of well-posedness to a hemivariational inequality, give some metric characterizations of the wellposed hemivariational inequality, and derive some conditions under which the hemivariational inequality is strongly well-posed in the generalized sense. Also, we show that the well-posedness of the hemivariational inequality is equivalent to the well-posedness of the corresponding inclusion problem.