On the well-posedness of generalized hemivariational inequalities and inclusion problems in Banach spaces

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