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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In this note, we give an exact formula for a general family of rational zeta series involving the coefficient ζ(2n) in terms of Hurwitz zeta values. This formula generalizes two previous formulas from a paper in [5]. Our method will involve derivatives polynomials for the cotangent function.