ON A CLASS OF VARIATIONAL-HEMIVARIATIONAL INEQUALITIES INVOLVING SET-VALUED MAPPING

Using the Tarafdar lemma[4], we establish some existence results for variationalhemivariational inequalities involving pseudomonotone set-values mapping on bounded, closed, and convex subset in reflexive Banach space. We also derive several sufficient conditions for existence of solutions in the case of unbounded subsets.

Keywords:

Variational-hemivariational inequalities , Clarke’s generalized gradient , Tarafdar lemma , set-valued mapping , pseudo monotone