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arxiv: 0904.4001 · v1 · submitted 2009-04-25 · 🧮 math.CA · math.FA

On a class of Variational-Hemivariational Inequalities involving set valued mappings

classification 🧮 math.CA math.FA
keywords existenceinequalitiesinvolvingmappingssubsetsvaluedvariational-hemivariationalbanach
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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.

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