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WELL-POSEDNESS FOR GENERALIZED VARIATIONAL-HEMIVARIATIONAL INEQUALITIES WITH PERTURBATIONS IN REFLEXIVE BANACH SPACES
摘要
In this paper, we consider an extension of well-posedness for a minimization problemto a class of generalized variational-hemivariational inequalities with perturbations in reflexive Banach spaces. We establish some metric characterizations for the α- well-posed generalized variational-hemivariational inequality and give some conditions under which the generalized variational-hemivariational inequality is strongly α-wellposed in the generalized sense. Under some mild conditions, we also prove the equivalence between the α-well-posedness of the generalized variational-hemivariational inequality and the α-well-posedness of the corresponding inclusion problem.
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