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Abstract
Using the KKM technique, we establish some existence results for variational-hemivariational inequalities involving monotone set valued mappings on bounded, closed and convex subsets in reflexive Banach spaces. We also derive several sufficient conditions for the existence of solutions in the case of unbounded subsets.
Keywords.: Variational-hemivariational inequalities; Clarke's generalized gradient; KKM mapping; set valued mappings; monotone mappings; existence of solutions
Received: 2009-05-02
Revised: 2009-05-11
Published Online: 2010-03-19
Published in Print: 2010-June
© de Gruyter 2010