, Volume 99, Issue 1, pp 165-181

On Quasimonotone Variational Inequalities

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Abstract

In this paper, we study variational inequalities with multivalued mappings. By employing Fan's lemma, we establish the existence result for the dual formulation of variational inequalities with semistrictly quasimonotone mappings. We also show that similar results for quasimonotone variational inequalities do not hold.