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Zbl 0911.90325
Konnov, I.V.
On quasimonotone variational inequalities. (English)
[J] J. Optimization Theory Appl. 99, No.1, 165-181 (1998). ISSN 0022-3239; ISSN 1573-2878/e

Summary: 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 semi-strictly quasimonotone mappings. We also show that similar results for quasi-monotone variational inequalities do not hold.
MSC 2000:
*90C33 Complementarity problems
49J40 Variational methods including variational inequalities
90C48 Programming in abstract spaces

Keywords: variational inequalities; multivalued mappings; semi-strictly quasimonotone mappings

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