TY - JOUR
T1 - Quasimonotone Quasivariational Inequalities: Existence Results and Applications
AU - Aussel, D.
AU - Cotrina, J.
PY - 2013/9/1
Y1 - 2013/9/1
N2 - 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.
AB - 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.
KW - Quasi-optimization
KW - Quasimonotone operator
KW - Quasivariational inequality
KW - Traffic network
KW - Quasi-optimization
KW - Quasimonotone operator
KW - Quasivariational inequality
KW - Traffic network
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84883052777&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84883052777&origin=inward
U2 - 10.1007/s10957-013-0270-3
DO - 10.1007/s10957-013-0270-3
M3 - Article in a journal
SN - 0022-3239
VL - 158
SP - 637
EP - 652
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 3
ER -