m Alimohammady - Department of Mathematics, Faculty Mathematical Sciences,
N. Alipour - University of Mazandaran, Babolsar

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.

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