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Article

Cubiotti, Paolo
A counter-example to some recent existence results on implicit variational inequalities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 415-418
MSC: 49J40 | MR 1399016 | Zbl 0863.49009
Keywords:
quasi-variational inequalities; lower semicontinuity; partition of unity; minimax
Summary:
In this note we prove that some recent results on an implicit variational inequality problem for multivalued mappings, which seem to extend and improve some well-known and celebrated results, are not correct.
References:
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[4] Aubin J.P., Frankowska H.: Set-Valued Analysis. Birkhäuser, Boston, 1990. MR 1048347 | Zbl 1168.49014
[5] Cubiotti P.: An existence theorem for generalized quasi-variational inequalities. Set-Valued Anal. 1 (1993), 81-87. MR 1230371 | Zbl 0781.49006
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