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In this paper, we investigate the difference gap function (for short, D-gap function) associated with a nonsmooth and nonmonotone variational-hemivariational inequality problem (for short, (VHVIP)). We derive explicit formulas for the subderivative, regular subdifferential, and limiting subdifferential of the D-gap function for such nonsmooth and nonmonotone (VHVIP).
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