Abstract
In this paper, we consider a system of time-dependent hemivariational inequalities with Volterra integral terms by using a surjectivity theorem for pseudomonotone operators and the Banach fixed point theorem, rather than the Knaster-Kuratowski-Mazurkiewicz theorems used by many researchers in recent literature for systems of hemivariational inequalities. Under some suitable conditions, the existence and uniqueness result of solution to the problem considered is obtained by proving that a derived vector inclusion problem with Volterra integral term is solvable.
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