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Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems. (English) Zbl 1097.49012
Summary: Some existence results for vector quasivariational inequalities with multifunctions in Banach spaces are derived by employing the KKM-Fan theorem. In particular, we generalize a result by Lin, Yang and Yao, and avoid monotonicity assumptions. We also consider a new quasivariational inequality problem and propose notions of weak and strong equilibria while applying the results to traffic network problems.
MSC:
49J40Variational methods including variational inequalities
90C29Multi-objective programming; goal programming
47J20Inequalities involving nonlinear operators
90B20Traffic problems
91B52Special types of equilibria in economics
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