This paper deals with the finite element approximationof a class of variational inequalities (VI) and quasi-variational inequalities (QVI) with the right-handside depending upon the solution. We prove that the approximation is optimally accurate inL∞combining the Banach fixed point theorem with the standarduniform error estimates in linear VIs and QVIs. We alsoprove that this approach extends successfully to thecorresponding noncoercive problems.
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