Quasimonotone Quasivariational Inequalities: Existence Results and Applications

D. Aussel () and J. Cotrina ()
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D. Aussel: Université de Perpignan
J. Cotrina: Universidad Nacional de Ingeniería

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 3, No 1, 637-652

Abstract: 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.

Keywords: Quasivariational inequality; Quasimonotone operator; Quasi-optimization; Traffic network (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10957-013-0270-3

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