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Quasimonotone Quasivariational Inequalities: Existence Results and Applications |
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| Authors: | D. Aussel J. Cotrina |
| Affiliation: | 1. Lab. PROMES, UPR CNRS 8521, Université de Perpignan, Perpignan, France 2. IMCA, Instituto de Matemática y Ciencias Afines, Universidad Nacional de Ingeniería, Calle Los Biólogos 245 Urb. San Cesar, La Molina, Lima, 12, Peru |
| Abstract: | A quasivariational inequality is a variational inequality in which the constraint set depends on the variable. Based on fixed point techniques, we prove various existence results under weak assumptions on the set-valued operator defining the quasivariational inequality, namely quasimonotonicity and lower or upper sign-continuity. Applications to quasi-optimization and traffic network are also considered. |
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