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On Quasimonotone Variational Inequalities |
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| Authors: | D. Aussel N. Hadjisavvas |
| Affiliation: | (1) Département de Mathématiques, Université de Perpignan, Perpignan, France;(2) Department of Product and Systems Design Engineering, University of the Aegean, Hermoupolis, Syros, Greece |
| 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 |
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