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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Acknowledgement
The authors would like to thank Nicolas Hadjisavvas for providing elements leading to statement of Proposition 4.3. Thanks are also addressed to the referees for their valuable comments which helped improve the quality of the paper.
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Communicated by Igor Konnov.
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Aussel, D., Cotrina, J. Quasimonotone Quasivariational Inequalities: Existence Results and Applications. J Optim Theory Appl 158, 637–652 (2013). https://doi.org/10.1007/s10957-013-0270-3
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DOI: https://doi.org/10.1007/s10957-013-0270-3