On Quasimonotone Variational Inequalities

D. Aussel and N. Hadjisavvas
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D. Aussel: Université de Perpignan
N. Hadjisavvas: University of the Aegean

Journal of Optimization Theory and Applications, 2004, vol. 121, issue 2, No 10, 445-450

Abstract: Abstract 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.

Keywords: Variational inequalities; quasimonotone operators; generalized monotonicity; existence results (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (32)

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DOI: 10.1023/B:JOTA.0000037413.45495.00

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