On Quasimonotone Variational Inequalities

Igor Konnov ()

Journal of Optimization Theory and Applications, 1998, vol. 99, issue 1, No 9, 165-181

Abstract: 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.

Keywords: Semistrictly quasimonotone mappings; dual formulation of variational inequalities; multivalued mappings (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1021756328706

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