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Aussel, D.; Hadjisavvas, N.

On quasimonotone variational inequalities. (English) Zbl 1062.49006

J. Optimization Theory Appl. 121, No. 2, 445-450 (2004).
Summary: The purpose of this paper is to prove the existence of solutions of the Stampacchia variational inequality for a quasimonotone multivalued operator without any assumption on the existence of inner points. Moreover, the operator is not supposed to be bounded valued. The result strengthens a variety of other results in the literature.

Cited in 2 Reviews
Cited in 62 Documents

MSC:

49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)
49J53 Set-valued and variational analysis

Keywords:

Stampacchia variational inequalities; quasimonotone multivalued operator; existence results
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\textit{D. Aussel} and \textit{N. Hadjisavvas}, J. Optim. Theory Appl. 121, No. 2, 445--450 (2004; Zbl 1062.49006)
Full Text: DOI

References:

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